Question

the cost to own and operate a car depends on many factors, including gas prices, insurance costs, size of car, and finance charges. the average cost per mile to own and operate a small sedan in a country was $0.449 if you drive 20,000 mi. or more annually. the total cost is a function of the number of miles driven and can be represented by the function c = 0.449m. when you finally take your car to the junkyard, the odometer reads 150,000 miles. complete parts a through g.
a. identify the input variable.
the input variable is m.
b. identify the output variable.
the output variable is c.
c. use f to represent the function and rewrite c = 0.449m using function notation.
f(m)=0.449m
d. the average number of miles driven per year is 20,000. evaluate f(20,000) and write a sentence describing its meaning.
(simplify your answers.)
a. f(20,000)=. it costs a total of $ to own a small sedan and drive it 150,000 miles if you drive 20,000 miles per year.
b. f(20,000)=. it costs $ per year to own a small sedan and drive it 20,000 miles.

Explanation:

Step1: Recall function - evaluation formula

We have the function $f(m)=0.449m$. To find $f(20000)$, we substitute $m = 20000$ into the function.

Step2: Perform the calculation

$f(20000)=0.449\times20000 = 8980$. This value represents the total cost to own and operate a small - sedan for 20000 miles.

Answer:

B. $f(20000)=8980$. It costs $8980$ per year to own a small sedan and drive it 20,000 miles.