The range for the miles for which she can drive new car.

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.7, Problem 109E
To determine

The range for the miles for which she can drive new car.

Expert Solution

The range is between 12000 miles to 14000 miles_.

Explanation of Solution

It is given that the annual cost of driving a new car is C=0.35m+2200 where C is the cost in dollars and m is the number of miles driven per year.

Also, the budget of driving costs is $6400 to$7100 for next year.

Substitute the cost $6400 in C=0.35m+2200 and calculate the value as follows: 6400=0.35m+220064002200=0.35m+220022004200=0.35m42000.35=0.35m0.35m=12000 miles Substitute the cost$7100 in C=0.35m+2200 and calculate the value as follows:

7100=0.35m+220071002200=0.35m+220022004900=0.35m49000.35=0.35m0.35m=14000miles

Therefore, the range is between 12000 miles to 14000 miles_.

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