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

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.