Question

A car rental agency charges $75 per day plus 70 cents per mile. a. Express the cost of renting a car from this agency for 1 day as a function of the number of miles driven, and draw the graph. b. How much does it cost to rent a car for a l-day trip of 50 miles? c. The agency also offers a rental for a flat fee of $125 per day. How many miles must you drive on a l-day trip for this to be the better deal?

Answer 1

The cost of renting a car for one day is $75 plus 70 cents per mile driven, expressed as C(m) = 75 + 0.70m. For a 50-mile day trip, the cost is $110. If driving more than 71.43 miles, the flat fee of $125 offers a better deal.

Step-by-step explanation:

The cost of renting a car from the agency for 1 day as a function of the number of miles driven can be expressed as:

C(m) = 75 + 0.70m

where C(m) is the cost in dollars and m is the number of miles driven.

b. To find the cost for a 1-day trip of 50 miles, plug 50 into the function:

C(50) = 75 + (0.70 × 50) = 75 + 35 = $110

c. To determine when the flat fee of $125 is a better deal, set the two cost equations equal to each other and solve for m:

75 + 0.70m = 125

0.70m = 125 - 75

0.70m = 50

m = 50 / 0.70

m = 71.43

Therefore, you must drive more than 71.43 miles for the flat fee to be the better deal.