# The distance covered by Michael in miles.

### 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 1.6, Problem 19E
To determine

## To find: The distance covered by Michael in miles.

Expert Solution

Michael drives the truck 400 miles.

### Explanation of Solution

Given:

The rent of truck for one day is $65 and 20 cents for one mile. The truck rented for 3 days and total bill is$275.

Calculation:

Let the number of miles be x.

Tabulate the given information into the language of algebra.

 In words In Algebra Number of miles driven x Mileage Cost (at $0.20 per mile) 0.20x Daily cost (at$65 per day) 3(65)

Model the equation for the above information.

Mileagecost+Dailycost=Totalcost0.20x+3(65)=2750.20x+195=275

Simplify the above equation for x,

0.20x=80(Subtract195)x=800.20(Divideby0.20)x=400

Thus, Michael drives the truck 400 miles.

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