Question

A car rental agency charges $25 per week plus $0.02 per mile to rent a car.a. express the weekly cost to rent the car, f, as a function of the number of miles drivin during the week, x.b. how many miles did you drive during the week if the weekly cost to rent the car was $25?

Answer 1

Answer:

a. f(x)=25+0.02x

b. 0 miles

Explanation:

The charges per week to rent a car =$25

There is an additional cost of $0.02 per mile.

Let the number of miles driven during the week = x

(a)The weekly cost, f o rent a car will be:

$f(x)=25+0.02x$

(b) If the weekly cost to rent the car was $25

f(x)=25

Substitution into f(x) derived above gives:

$\begin{gathered} 25=25+0.02x \\ 25-25=0.02x \\ 0=0.02x \\ x=\frac{0}{0.02} \\ x=0 \end{gathered}$

If the weekly cost was $25, the car was driven for 0 miles (was not driven at all).