Question

Every day when commuting to and from work, Stefanie

drives her car a total of 143 miles for 2.5 hours. Her car
already has 45,300 miles on it.
a. Write a function that shows the total number of
miles, f(x), Stefanie's car will have been driven
after x more days. Explain how you know where
each number goes in the equation.
b. If Stefanie works 4 days a week, how many miles
will her car have been driven after 3 weeks? Show
and explain all your work.

Answer 1

a)
`f(x) = 45300 + 143x`

In which 45300 is the current number of miles driven and 143 is the amount of miles she drives each day.

b) 47,016 miles.

Explanation:

Question a:

Every day when commuting to and from work, Stefanie drives her car a total of 143 miles for 2.5 hours. Her car already has 45,300 miles on it.

So, after x days of work, the amount of miles driven will be given by

`f(x) = 45300 + 143x`

In which 45300 is the current number of miles driven and 143 is the amount of miles she drives each day.

Question b:

After 4*3 = 12 days of work. So

`f(12) = 45300 + 143*12 = 47016`

47,016 miles.