The Ears-to-the-Wind Car Rental charges $100 per day and 11 cents per mile to rent a sport utility
vehicle. The Wheels Are Us charges $128 per day and 8 cents per mile for the same vehicle. What is
the number of miles, to the nearest mile, that would cause the rental fees of the two companies to
be equal in one day?
a. Define your variable.

b. Set up an equation to solve the situation. Then solve showing steps algebraically.

c. Write a sentence to answer the question in the situation.

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ewomazinoade ewomazinoade · Answer 1 · 2021-09-10T15:25:58+02:00

The total miles that would cause the rental fees to be equal in one day is 933 miles

The equation that represents the total rental fees at Ears-to-the-Wind Car Rental: $100 + $0.11m

The equation that represents the total rental at Wheels Are Us : $128 + $0.08m

m represents the total miles driven

To determine the number of miles that would cause the rental fees to be equal in one day, equate both equations to each other

$100 + $0.11m = $128 + $0.08m

Combine similar terms

0.11m - 0.08m = 128 - 100

0.03m = 28

Divide both sides of the equation by 0.03

m = 28 / 0.03

m = 933 miles

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