Glenna wants to rent a car for a trip to key west for one weekshe calls two car rental companies to get prices. mr kotters rentals rents a cadillac escalade for $99 for one week plus $0.11per mile over 100 miles. barbarino's rentals has the same vehicle for $75 per week and $0.15 per mile over 150 miles. if its 432 miles to key west, which company has the better deal? How many miles would Glenna drive before she would be spending the same amount at either company?

Answer: Barbarino's rentals has a better deal.

She has to drive 887.5 miles to spend the same amount at either company.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Mr. kotters rentals (A)

$99 PER WEEK $0.11per mile over 100 miles

Barbarino's rentals (B)

$75 per week $0.15 per mile over 150 miles

For "A"

Cost = 0.11 (432-100) + 99 = $135.52

For "B"

Cost = 0.15 (432-150) + 75 = $117.3

Barbarino's rentals has a better deal, since $117.3 (B) < $135.52 (A)

To find how many miles would Glenna drive before she would be spending the same amount at either company:

A = B

0.11 (M-100) + 99 = 0.15 (M-150) + 75 = $117.3

Solving for M (miles)

0.11 M - 11+99 = 0.15 M - 22.5+75

-11 + 99 + 22.5 - 75 = 0.15M - 0.11 M

35.5 = 0.04M

35.5/0.04 = M

887.5 = M

She has to drive 887.5 miles to spend the same amount at either company.