Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 1174363: Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4
Click here to see answer by Boreal(15235) About Me 

Question 1174382: Determine whether the given points are on the graph of y=2x+3.
Select all points that lie on the graph.
(2,6)
(3,9)
(-1,-4)
(4,11)

Click here to see answer by josgarithmetic(39617) About Me 

Question 1174386: A company makes pens. They sell each pen for $10.
Their revenue is represented by R = 10 x.
The cost to make the pens is $3 each with a one-time start-up cost of $4500.
Their cost is represented by C = 3 x + 4500.
a) Find the profit, P, (P = R - C) when the company sells 1000 pens.
-1500
14500
10000
-10000
2500
Find the number of pens they need to sell to break even (when R = C).
450
1500
1125
643

Click here to see answer by greenestamps(13200) About Me 

Question 1174385: A town's population has been growing linearly. In 2003 the population was 68,000. The population has been growing by 2200 people each year.
Write an equation for the population, P, x years after 2003.
Use the formula to find the population in 2009:

Click here to see answer by josgarithmetic(39617) About Me 
Question 1174385: A town's population has been growing linearly. In 2003 the population was 68,000. The population has been growing by 2200 people each year.
Write an equation for the population, P, x years after 2003.
Use the formula to find the population in 2009:

Click here to see answer by MathTherapy(10552) About Me 

Question 1174412: Has a slope of −1/3 and passes though (0,5/6)
Click here to see answer by ikleyn(52781) About Me 

Question 1174485: A city's population in the year x = 1974 was y = 1,104,100. In 1979 the population was 1,104,850.
Compute the slope of the population growth (or decline) and choose the most accurate statement from the following:
The population is increasing at a rate of 50 people per year.
The population is decreasing at a rate of 350 people per year.
The population is decreasing at a rate of 150 people per year.
The population is increasing at a rate of 150 people per year.
The population is decreasing at a rate of 50 people per year.
The population is increasing at a rate of 350 people per year.

Click here to see answer by ikleyn(52781) About Me 
Question 1174485: A city's population in the year x = 1974 was y = 1,104,100. In 1979 the population was 1,104,850.
Compute the slope of the population growth (or decline) and choose the most accurate statement from the following:
The population is increasing at a rate of 50 people per year.
The population is decreasing at a rate of 350 people per year.
The population is decreasing at a rate of 150 people per year.
The population is increasing at a rate of 150 people per year.
The population is decreasing at a rate of 50 people per year.
The population is increasing at a rate of 350 people per year.

Click here to see answer by ewatrrr(24785) About Me 
Question 1174485: A city's population in the year x = 1974 was y = 1,104,100. In 1979 the population was 1,104,850.
Compute the slope of the population growth (or decline) and choose the most accurate statement from the following:
The population is increasing at a rate of 50 people per year.
The population is decreasing at a rate of 350 people per year.
The population is decreasing at a rate of 150 people per year.
The population is increasing at a rate of 150 people per year.
The population is decreasing at a rate of 50 people per year.
The population is increasing at a rate of 350 people per year.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1174484: A company discovers that to produce x = 930 new electronic parts, it will cost y = $94160. To produce 820 new electronic parts, it will cost $84040.
Compute the slope of the costs and choose the most accurate statement from the following:
Costs are increasing at a rate of $89 per item.
Costs are decreasing at a rate of $92 per item.
Costs are increasing at a rate of $97 per item.
Costs are decreasing at a rate of $89 per item.
Costs are decreasing at a rate of $97 per item.
Costs are increasing at a rate of $92 per item.

Click here to see answer by ikleyn(52781) About Me 

Question 1174483: Superman needs to save Lois from the clutches of Lex Luthor. After flying for 12 seconds, he is 1428 meters from her. Then at 14 seconds, he is 1316 meters from her.
What is Superman's average rate? meters per second
How far does Superman fly every 9 seconds? meters
How close to Lois is Superman after 23 seconds? meters

Click here to see answer by ikleyn(52781) About Me 

Question 1174566: Solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. (If the solution set is empty, enter EMPTY or ∅.)
−9 < 8x + 7 ≤ 13

Click here to see answer by ikleyn(52781) About Me 

Question 1174565: Solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. (If the solution set is empty, enter EMPTY or ∅.)
4x − 7 < −11
or
5x + 1 ≥ 6

Click here to see answer by MathLover1(20849) About Me 

Question 1174597: Peter found 5 empty plastic bottles outside their house on Sunday.
Each day after that, he found 4 empty plastic bottles.
1. Create a table of values and graph the function.
2.Write a linear function that expresses the number of empty plastic bottles and the
number of days.
3. How many empty plastic bottles he had on Friday?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1174634: The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 500 minutes, the monthly cost will be $237. If the customer uses 910 minutes, the monthly cost will be $401.
A) Find an equation in the form y=mx+b, where x is the number of monthly minutes used and y is the total monthly of the NextFell plan.
Answer: y=

B) Use your equation to find the total monthly cost if 652 minutes are used.
Answer: If 652 minutes are used, the total cost will be dollars.

Click here to see answer by Boreal(15235) About Me 

Question 1174380: Suppose you were given $600 from your uncle. You deposited that money in a bank and added $65 per month.
Write an equation to model how much money you have deposited after m months. Let s be the amount you have deposited.

What 1-variable equation would you solve to figure out how many months it would take to save $10,000 dollars?

How many months would it take to save $10,000?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1174762: Write the interval as an inequality or double inequality.
(3,∞)
The interval as an inequality or double inequality is ____

Click here to see answer by MathLover1(20849) About Me 

Question 1174760: Write the interval as an inequality or double inequality.
(- 5,6]
The interval as an inequality or double inequality is ______

Click here to see answer by MathLover1(20849) About Me 

Question 1174763: 1) A jazz concert brought $137,000 on the sale of 8,800 tickets. If the tickets sold for $10 and $20 each, how many of each type were sold?
The number of $10 tickets is _____

2) You have $500,000 in an IRA ((Individual Retirement​ Account) at the time you retire. You have the option of investing this money in two funds. Fund A pays 4.9% annually and Fund B pays 7.4 % annually. How should you divide your money between Fund A and Fund B to produce an annual interest of $32,750?
You should invest $__ in Fund A and $___ in Fund B.
3) Retail prices in a department store are obtained by marking up the wholesale price by 60%. That​ is, retail price is obtained by adding 60% of the wholesale price to the wholesale price.
A) What is the retail price of a suit if the wholesale price is $400? I need the answer of A only. You don't have to answer B
B) What is the wholesale price of a pair of jeans if the retail price is $80?
What is the retail price of a suit if the wholesale price is $400?
The retail price is $____
4) The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $24.00. With the coupon​ book, the fare is reduced to $0.50. How many times must someone use the bus so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon​ book?
Express the total monthly cost to use the bus with a coupon​ book, f, as a function of the number of times in the month the bus is​ used, x. Then express the total monthly cost to use the bus without a coupon​ book, g, as a function of the number of times in the month the bus is​ used, x.
f(x)= ____ g(x)=_____
5) One employee of a computer store is paid a base salary of $4,000 a month plus an 8% commission on all sales over $6,000 during the month. How much must the employee sell in one month to earn a total of $5,000 for the month?
Write an equation required to find the​ solution, using x to represent the amount of​ sales, in​ dollars, by the employee.
6) A publisher for a promising new novel figures fixed costs​ (overhead, advances,​ promotion, copy​ editing, typesetting, and so​ on) at $52,000, and variable costs​ (printing, paper,​ binding, shipping) at $2.80 for each book produced. If the book is sold to distributors for $16 each, how many must be produced and sold for the publisher to break​ even?
The publisher must produce and sell____ books to break even.

Click here to see answer by greenestamps(13200) About Me 

Question 1174764: A publisher for a promising new novel figures fixed costs​ (overhead, advances,​ promotion, copy​ editing, typesetting, and so​ on) at $52,000, and variable costs​ (printing, paper,​ binding, shipping) at $2.80 for each book produced. If the book is sold to distributors for $16 each, how many must be produced and sold for the publisher to break​ even?
The publisher must produce and sell____ books to break even.

Click here to see answer by ikleyn(52781) About Me 

Question 1174771: A jazz concert brought $137,000 on the sale of 8,800 tickets. If the tickets sold for $10 and $20 each, how many of each type were sold?

Click here to see answer by VFBundy(438) About Me 

Question 1174778: -15 = 8x + 1

Click here to see answer by ikleyn(52781) About Me 

Question 1174882: X 1 2 3 4 5 6
Y 737 10462 51389 167569 376771 806702

Click here to see answer by ikleyn(52781) About Me 

Question 1174883: Can you help me with this equation please
Use linear regression to find the equation for the linear function that best fits this data. Round parameters to two decimal places.
X 1 2 3 4 5 6

Y 737 10462 51389 167569 376771 806702

Click here to see answer by ikleyn(52781) About Me 

Question 1174914: A payphone service charges php 5 for the first three minutes and php 1 for every additional or a fraction of it. How much will the caller have to pay if his call last 8 minutes. Write a rule the best describes the problem and draw its graph using an method
Click here to see answer by ikleyn(52781) About Me 

Question 1174924: Consider the line that goes through the points (3,4) and (2,-1).
a) Find the slope of this line.
b) Write the equation representing this line in slope-intercept form.
c) Identify the x-intercept and y-intercept.
d) Graph the line in a clearly labeled coordinate plane.

Click here to see answer by ewatrrr(24785) About Me 

Question 1174930: please help me solve this equation
2. The sum of two numbers is 23 and their product is 120. find the two numbers

Click here to see answer by greenestamps(13200) About Me 
Question 1174930: please help me solve this equation
2. The sum of two numbers is 23 and their product is 120. find the two numbers

Click here to see answer by ewatrrr(24785) About Me 

Question 1174948: Find x so that the ordered pair (x,1) satisfies the equation 2x -3y = -7.
Click here to see answer by MathLover1(20849) About Me 

Question 1175020: 5.Sam is 102 years younger than Alma. 5 years ago, Alma's age was 4 times Sam's age. How old is Sam now?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1175028: Corey is 203 years old. Kathryn is 27 years old. How many years until Corey's age is 5 times Kathryn's age?
Click here to see answer by ikleyn(52781) About Me 

Question 1175025: Marcus is 4 years older than Hanna. In 8 years the sum of their ages will be 90. How old is Marcus now?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1175027: 4.Gerardo is 4 years older than Kayla. In 6 years the sum of their ages will be 78. How old is Gerardo now?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1175029: Ricardo is 34 years younger than Carissa. 2 years ago, Carissa's age was 2 times Ricardo's age. How old is Ricardo now?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1175065: I'm asking this question once again but I never really received an answer. Thank you.
Cesar is 20 years old. Marissa is 14 years old. How many years ago was Cesar's age 3 times Marissa's age?

Click here to see answer by ikleyn(52781) About Me 

Question 1175063: I don't know if they are talking about a tree or what. I would like to know?
Corey is 203 years old. Kathryn is 27 years old. How many years until Corey's age is 5 times Kathryn's age?

Click here to see answer by ikleyn(52781) About Me 
Question 1175063: I don't know if they are talking about a tree or what. I would like to know?
Corey is 203 years old. Kathryn is 27 years old. How many years until Corey's age is 5 times Kathryn's age?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1175064: I'm asking this question once again but I never really received an answer. Thank you.
Ricardo is 34 years younger than Carissa. 2 years ago, Carissa's age was 2 times Ricardo's age. How old is Ricardo now?

Click here to see answer by MathLover1(20849) About Me 

Question 1175066: The sum of the ages of Tom and Chloe is 72 years. 10 years ago, Tom's age was 3 times Chloe's age. How old is Tom now?

Click here to see answer by MathLover1(20849) About Me 

Question 1175067: Practice question (Age Word Problem)
The sum of the ages of Gerardo and Alice is 120 years. 10 years ago, Gerardo's age was 4 times Alice's age. How old is Gerardo now?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1175076: Ground beef sells Php 275.00 per kg and ground pork sells for Php 237.50 per kg. How many kilograms of ground beef should be mixed with 8 kg of ground pork to make a mixture that sells for Php 225.00 per kg?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1175116: Algebra: Determine which of the following ordered pairs (2, 6), (0, -12), (5, 3) and (1, 9) is/are solutions (s) of the equation 3x - y = 12.
Click here to see answer by ikleyn(52781) About Me 

Question 1175133: Age Practice Problem
Cesar is 18 years younger than Haley. 7 years ago, Haley's age was 2 times Cesar's age. How old is Cesar now?

Click here to see answer by MathLover1(20849) About Me 

Question 1175132: Age Practice Problem
Jesse is 83 years old. Rosa is 32 years old. How many years ago was Jesse's age 4 times Rosa's age?

Click here to see answer by MathLover1(20849) About Me 

Question 1175131: Age Practice Problem
Ricardo is 6 years older than Hillary. In 8 years the sum of their ages will be 74. How old is Ricardo now?

Click here to see answer by MathLover1(20849) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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