Tutors Answer Your Questions about Linear-equations (FREE)
Question 1164587: Loudon Car Rental Company charges a $30 fee for the first 50 miles a compact car is driven. There is a $0.25 charge for every mile the car is driven over 50 miles. (So, there is no per mile charge for 0 - 50 miles driven).
(a) Write an equation that can be used to determine a car renter’s bill, B(x), given the amount of miles driven is called, x. Assume that the renter will drive over 50 miles before returning the car.
I put 30+ 0.25x is that correct
Click here to see answer by Theo(13342)  |
Question 1164646: a) Identify the x and y intercepts for the given linear equation
((x-2y))/3-12=((2x+4y))/3
b) Plot the graph for the given linear equation.
6x+3y=-36
Compute the slope of the line segment connecting the points (-4 , 20) and (-4 , 30).
Click here to see answer by greenestamps(13200)  |
Question 1164723: You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $7 per guest and averaged 345 guests per night. The next week you charged $10 per guest and averaged 300 guests per night.
(a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p.
q(p) =
Click here to see answer by solver91311(24713)  |
Question 1164713: You operate a gaming Web site, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 1180 log-ons per month. When you lowered the price to $2.50, the demand increased to 1475 log-ons per month.
(a) Construct a linear demand function for your Web site and hence obtain the monthly revenue R as a function of the log-on fee p.
R(p) =
Click here to see answer by solver91311(24713)  |
Question 1164711: You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $7 per guest and averaged 345 guests per night. The next week you charged $10 per guest and averaged 300 guests per night.
(a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p.
q(p) =
Click here to see answer by solver91311(24713)  |
Question 1164839: a developer wants to purchase a plot of land to build a house the area of the plot can be described by the following expression: (5x+1)(6x-7) when x is measured in meters. multiply the binomials to find the area of the plot in standard form
Click here to see answer by solver91311(24713)  |
Question 1164875: Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to 4 decimal places when necessary.) HINT [See Example 2.]
Through (2, 18) and (4, 162)
f(x) =
Click here to see answer by Boreal(15235)  |
Question 1164874: The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. HINT [See Example 1.] (If an answer does not exist, enter DNE.)
x −2 −1 0 1 2
f(x) 1.125 2.25 4.5 9 18
g(x) 12
6 3 1.5 0.75
f(x) =
g(x) =
Click here to see answer by Boreal(15235)  |
Question 1165014: A cab company charges an initial rate of $2.50 for a ride, plus $0.40 for each mile driven. What is the equation that models the total fee for using this cab company? Write into an equation and then graph it.
Click here to see answer by Boreal(15235)  |
Question 1165245: Mark manages a store that sells cell phones. Each MX300 takes 6 hours to create the plastic pieces, 2 hours to create the electronics, and 10 hours of labor to assemble the final product. Each XL2000 requires 3 hours to create the plastic pieces, 4 hours to create the electronics, and 21 hours of labor to assemble the final product. The factory has 840 hours to create the plastic pieces, 360 hours to create the electronics, and 1880 hours of labor to assemble the final product each week. If each MX300 generates $4 in profit, and each XL2000 generates $19, how many of each of the cell phones should Mark have the store sell each week to make the most profit?
Click here to see answer by Theo(13342)  |
Question 1165538: Write the system of equations that has (3.-4) as its only solution and both lines are perpendicular to each other.
I solved this problem like this but I am not sure if this is correct way of thinking. Thank you.
My solution: x+y=c, 3+(-4)=3-4=-1,
x-y=d, 3-(-4)=3+4=7,
My system of equation is:
y=-x-1
y=x-7
Both lines are perpendicular because -1times1=-1
Thank you.
Click here to see answer by ikleyn(52781)  |
Question 1165595: Matthew needs to send a package from canada to indonesia, the distance from canada to indonesia, is 12,787 Km. The package arrived in Indonesia in 4 days, due to covid-19 the package was returned back to Canada, in 6 days. Estimate the speed of the trip.
I need to find the equation in order to the problem. Please solve the whole problem. Thanks
Click here to see answer by ikleyn(52781)  |
Question 1165595: Matthew needs to send a package from canada to indonesia, the distance from canada to indonesia, is 12,787 Km. The package arrived in Indonesia in 4 days, due to covid-19 the package was returned back to Canada, in 6 days. Estimate the speed of the trip.
I need to find the equation in order to the problem. Please solve the whole problem. Thanks
Click here to see answer by solver91311(24713)  |
Question 1165798: A local water park found that if the price of admission was $19, the attendance was about 1550 customers per week. When the price of admission was dropped to $16, attendance increased to about 2350 per week. Write a linear equation for the attendance in terms of the price, p. ( A=mp+b )
Click here to see answer by josgarithmetic(39617) |
Question 1165844: A company makes a profit of $60 per software program and $45 per video game. The company can produce at most 300 software programs and at most 200 video games per week. Total production cannot exceed 400 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve
Click here to see answer by ikleyn(52781)  |
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27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 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