Question

A moving truck rental company charges $37.95 to rent a truck, plus $0.95 per mile. Suppose the function C(d) gives the total cost of renting the truck for one day if you drive d miles.

State the formula for C(d). Make sure to give the complete formula as an equation.
Function Notation: =
C(d)=_______
Total Rental Cost (55 miles): _______
Suppose you have $140 budgeted to move. What is the furthest distance you can drive the truck? Round your answer down to the nearest whole number.

Answer 1

The formula for the total cost of renting a truck for one day is C(d) = 37.95 + 0.95(d). The total rental cost for driving 55 miles is $90.20. With a $140 budget, the furthest distance you can drive the truck is 107 miles.

Step-by-step explanation:

The formula for the total cost of renting a truck for one day is given by the equation C(d) = 37.95 + 0.95(d), where C(d) represents the total cost and d represents the number of miles driven.

For a rental of 55 miles, substitute d = 55 into the equation to find the total rental cost: C(55) = 37.95 + 0.95(55) = 37.95 + 52.25 = 90.20.

To determine the furthest distance you can drive the truck with a $140 budget, set up the equation 140 = 37.95 + 0.95(d) and solve for d:
140 - 37.95 = 0.95(d)
102.05 = 0.95(d)
102.05 / 0.95 = d
107.42 = d

Round the answer down to the nearest whole number, so the furthest distance you can drive the truck is 107 miles.