SOLUTION: Sunshine truck rentals rents a truck at a daily rate of $57.99 plus $0.48 per mile. City rentals rents the same truck at $58.95 plus $0.46 per mile. For what mileage is the cost th

Algebra ->  Systems-of-equations -> SOLUTION: Sunshine truck rentals rents a truck at a daily rate of $57.99 plus $0.48 per mile. City rentals rents the same truck at $58.95 plus $0.46 per mile. For what mileage is the cost th      Log On


   

Question 1206012: Sunshine truck rentals rents a truck at a daily rate of $57.99 plus $0.48 per mile. City rentals rents the same truck at $58.95 plus $0.46 per mile. For what mileage is the cost the same
Found 2 solutions by ikleyn, mananth:
Answer by ikleyn(52780) About Me  (Show Source):
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.

Write equation

    57.99 + 0.48m = 58.95 + 0.46m,


where "m" denote miles.


Left  side is the cost at Sunshine truck rentals; 
right side is the cost at City rentals.


From equation express and find m

    m = %2858.95+-+57.99%29%2F%280.48-0.46%29 = 48 miles.    ANSWER

Solved.



Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Sunshine truck rentals rents a truck at a daily rate of $57.99 plus $0.48 per mile. City rentals rents the same truck at $58.95 plus $0.46 per mile. For what mileage is the cost the same
Let number of miles per day be x
Sunshine truck rentals rents a truck at a daily rate of $57.99 plus $0.48 per mile
C(s)= 57.99 +0.48 x
City rentals rents the same truck at $58.95 plus $0.46 per mile.
C(c) = 58.95+0.46 x
When will mileage cost be same?
C(s)= C(c)
57.99 +0.48 x=58.95+0.46 x
Rearrange
0.48x -0.46 x = 58.95-57.99
).02x = 0.96
x =48
The cost will be the same for both companies when the mileage is 48 miles.