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.Use function notation to give the total rental cost if you drive the truck 55 miles. Give the function notation in the first box, the answer in the second box (rounded to one decimal place), and choose the correct units from the third box._____=______. 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 and choose the correct units._____=______

Answer 1

The function C(d) representing the total cost of renting a truck is C(d) = 37.95 + 0.95d. For 55 miles, the cost is $90.20. With a $140 budget, the maximum distance you can drive is 107 miles.

Step-by-step explanation:

The formula for the function C(d), which gives the total cost of renting the truck for one day if you drive d miles, is:

C(d) = 37.95 + 0.95d

To find the total rental cost for driving the truck 55 miles, we substitute d with 55:

C(55) = 37.95 + 0.95(55) = 37.95 + 52.25 = 90.20

Therefore, the total cost to rent the truck for 55 miles is $90.20.

To determine the furthest distance you can drive with a $140 budget, we set up the equation:

140 = 37.95 + 0.95d

Solving for d:

d = (140 - 37.95) / 0.95 = 107.42

When rounded down to the nearest whole number, the furthest distance you can drive the truck is 107 miles.