Question 163692
This is not linear algebra.

Linear algebra is given in college after the entire calculus series.

This subject deals with linear equations, which involves high school.

Your Question in Two Parts:

The charge for a one-day rental of a car from Shurtz Car Rental Agenct is $24 plus 15 cents for each mile driven.

a. If Jill drives 85 miles in one day, how much is the charge?

Jill drove 85 miles at 0.15 per mile + the initial charge of $24.

Then she is charged $24 + 85 times 0.15.

$24 + $12.75 = $36.74 to drive 85 miles on that day.

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b. If a one-day rental cost Jill $42, how far did she drive?

They charge $24 just to walk into the car rental place.

So, $42 - $24 = $18

To find how far Jill drove, divide $18 by 0.15.

Jill's Distance = $18/0.15

Jill's Distance = 120 miles for one day of driving.

I hope this helps.