Question

A car rental company charges $37 a day and 10 cents a mile for its cars.

(a) Write a formula for the cost in dollars, C, of renting a car as a function of the number of days, d, and the number of miles driven, m. C = f(d, m) =
(b) If C = f(d, m), find f(7,300) and interpret it. f(7,300) Renting a car for days and driving it miles costs $

Answer 1

The total cost, C, for renting a car from this company is given by the formula C = 37d + 0.10m, where d represents the number of days and m represents the miles driven. For 7 days and 300 miles, the cost is $289, which is found by substituting d=7 and m=300 into the formula.

Step-by-step explanation:

The cost of renting a car from this company is a combination of a flat daily fee and a variable cost based on the number of miles driven. The daily fee is $37, and the cost per mile is $0.10.

To write a formula for the total cost, we combine these two costs:

Part (a): Formula for Total Cost

C = 37d + 0.10m

Where C is the total cost in dollars, d is the number of days the car is rented, and m is the number of miles driven.

Part (b): Finding f(7, 300) and Interpreting the Result

To find f(7, 300), we substitute 7 for d and 300 for m into the formula:

C = 37(7) + 0.10(300)

C = 259 + 30

C = $289

Renting a car for 7 days and driving it 300 miles costs $289. This calculation includes the rental fee for the number of days and the charge for the number of miles.