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

Answer:

12000-14000 (in miles)

Step-by-step 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

$7040=0.37m+2600$

$7040-2600=0.37m$

$4440=0.37m$

$m=\frac{4440}{0.37}$

$m=12000$

Substitute C=$7780 in the given formula

$7780=0.37m+2600$

$7780-2600=0.37m$

$5180=0.37m$

$m=\frac{5180}{0.37}=14000$

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