Question

It is estimated that the annual cost of driving a certain new car is given by the formula C = 0.37m + 2600 where m represents the number of miles driven per year and C is the cost in dollars. Jane has purchased such a car and decides to budget between $7040 and $7780 for next year's driving costs. What is the corresponding range of miles that she can drive her new car? (Enter your answer using interval notation.)

Answer 1

12000-14000 (in miles)

Explanation:

We are given that the annual cost of driving a certain car is given by the formula

`C=0.37m+2600`

Where m=Represents the number of miles driven per year

C=Cost in dollars

We have to find the range of miles that Jane can drive her new car.

Range of budgets=$7040-$7780

Substitute C=$7040 in the given formula

`7040=0.37m+2600`

`7040-2600=0.37m`

`4440=0.37m`

`m=(4440)/(0.37)`

`m=12000`

Substitute C=$7780 in the given formula

`7780=0.37m+2600`

`7780-2600=0.37m`

`5180=0.37m`

`m=(5180)/(0.37)=14000`

The range of miles that Jane can drive her new car=12000-14000