Give the total rental cost if you drive the truck 36 miles. Give the function notation in the first box, the answer in the second box, and choose the correct units from the third box.

Question

A moving truck rental company charges $33.95 to rent a truck, plus $0.63 per mile. Suppose the function gives the total cost of renting the truck for one day if you drive 36 miles. Give the formula for . Make sure to give the complete formula as an equation.

a) Give the total rental cost if you drive the truck 36 miles. Give the function notation in the first box, the answer in the second box, and choose the correct units from the third box.

b)Suppose you have $110 budgeted to move. What is the furthest distance you can drive the truck? Round your answer to the nearest whole number and choose the correct units.

Answer 1

Part A: Total cost to drive 36 miles

$33.95 base price to rent the moving truck

0.63 cents per mile driven

36 miles driven

C(d) = cost per mile driven * miles driven + base price of truck rental

C(d) = 0.63d + $33.95

C(d) = 0.63(36) + $33.95

C(d) = $56.63

Part B: How many miles can be driven with a budget of $110?

$110 total budget

Using the function from Part A, C(d) = 0.63d + 33.95

$110 = 0.63d + 33.95

-33.95 -33.95

76.05 = 0.63d

0.63 0.63

121 miles ≈ d

Answer 2

Let's express a general equation for rental cost as Cost = 33.95 + 0.63m (where m = miles and Cost = $)

(a) This is a variation for the cost of one day only with 36 miles exactly.

C(d) = 33.95 + 0.63(36)

C(d) = 56.63

cost is in dollars

(b) This is a variation expressed as an inequality, and requiring us to rearrange to find miles.

33.95 + 0.63m ≤ 110

=> 0.63m ≤ 110 - 33.95

=> m ≤ (110 - 33.95) / 0.63

=> m ≤ 120.714

hence max distance within budget is 120 miles