Tutors Answer Your Questions about Functions (FREE)
Question 1031941: Gilda walks to the train station. If she walks at the rate of 3 mph, she misses her train by 7 minutes. However, if she walks at the rate of 4 mph, she reaches the station 5 minutes before the arrival of the train. Find the distance Gilda walks to the station. David knew he made a mistake when he calculated that Gilda walks 123 miles to the station.
Read through David's calculations:
Using d = rt, the distance is the same, but the rate and time are different.
If Gilda misses the train, it means the time t needs 7 more minutes so d = 3(t + 7).
If she gets to the station 5 minutes early means the time t can be 5 minutes less so d = 4(t - 5).
3(t + 7) = 4(t - 5)
3t + 21 = 4t - 20
t = 41
d = rt, so d = 3(41) = 123
Find David's mistake in his calculations. Explain his mistake and include the correct calculations and solutions in your answer.
Click here to see answer by josgarithmetic(39617)  |
Question 1031941: Gilda walks to the train station. If she walks at the rate of 3 mph, she misses her train by 7 minutes. However, if she walks at the rate of 4 mph, she reaches the station 5 minutes before the arrival of the train. Find the distance Gilda walks to the station. David knew he made a mistake when he calculated that Gilda walks 123 miles to the station.
Read through David's calculations:
Using d = rt, the distance is the same, but the rate and time are different.
If Gilda misses the train, it means the time t needs 7 more minutes so d = 3(t + 7).
If she gets to the station 5 minutes early means the time t can be 5 minutes less so d = 4(t - 5).
3(t + 7) = 4(t - 5)
3t + 21 = 4t - 20
t = 41
d = rt, so d = 3(41) = 123
Find David's mistake in his calculations. Explain his mistake and include the correct calculations and solutions in your answer.
Click here to see answer by MathTherapy(10551)  |
Question 1032097: For the 2 functions, f (x) and g(x), tables of values are shown below. What is the value
of g(f (3)) ?
.......x I f(x)..........x I g(x)
...------I------........----I-------
...–5..I....7.........–2..I....3
...–2..I..–5..........1..I..–1
....1..I....3..........2..I..–3
....3..I....2..........3..I..–5
Click here to see answer by robertb(5830)  |
Question 1032340: john and sarah are saving money for a car. the total amount of money john will save is given by the function f(x)=60+50x. the total amount of money sarah would save is given by the function g(x)= x squared + 46. after how many weeks, x, will they have the same amount of money saved? explain how you arrived at your answer.
Click here to see answer by Theo(13342)  |
Question 1032378: A local university football team has added a national power to next year's schedule.The other team has agreed to play the game for a guaranteed fee of $ 100,000 plus 25 percent of the game receipts
a) If college officials hope to net a profit of $240,000 from the game, how many tickets must be sold?
b) If a sellout of 50,000 fans is assured,what ticket price would allow the university to earn the desired profit of $ 240,000?
c) Again assuming a sellout, what would total profit equal if the $ 12 price is charged?
Click here to see answer by jorel555(1290) |
Question 1033246: Mary Jo spends $1,860 to buy stock in two companies. She pays $15 a share to one of the companies and $26 a share to the other. If she ends up with a total of 80 shares, how many shares did she buy at $15 a share and how many did she buy at $26 a share?
She bought
shares at $15 and
shares at $26.
Click here to see answer by stanbon(75887) |
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