SOLUTION: You can choose between two tennis courts at two university campuses to learn how to play tennis. One campus charges $25 per hour. Th e other campus charges $20 per hour plus a on

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Question 679900: You can choose between two tennis courts at two university campuses to
learn how to play tennis. One campus charges $25 per hour. Th e other campus
charges $20 per hour plus a one-time registration fee of $10.
a. Write a system of equations to represent the cost c for h hours of court use at
each campus.
b. Graphing Calculator Find the number of hours for which the costs are the same.
c. Reasoning If you want to practice for a total of 10 hours, which university
campus should you choose? Explain.
okay so the problem i am having is with part b, i don't have a graphing calc so what is another way to find it?

Found 2 solutions by stanbon, ReadingBoosters:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One campus charges $25 per hour. Th e other campus
charges $20 per hour plus a one-time registration fee of $10.
a. Write a system of equations to represent the cost c for h hours of court use at each campus.
One Campus cost: C(h) = 25h
Other Campus cost: c(h) = 10+20h
---------------------------------
b. Graphing Calculator Find the number of hours for which the costs are the same.
You don't need a graphing calculator:
Solve: 25h = 10+20h
5h = 10
h = 2 hours
----------------------------
c. Reasoning If you want to practice for a total of 10 hours, which university
campus should you choose? Explain.
One University Cost: C(10) = 25*10 = $250
Other University Cost: c(10) = 10 + 20*10 = $210
=====================================================
Cheers,
Stan H.

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
court one
c = 25h
court two
c = 20h+10
...
graph%28300%2C200%2C-1%2C4%2C-5%2C60%2C25x%2C20x%2B10%29
...
Set the equations equal to find where they intersect, or ar the same.
25h = 20h + 10
25h - 20h = 10
5h = 10
h = 2
...
The costs are the same when the hours is 2
.....................
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