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put this solution on YOUR website!Glenna wants to rent a car for a trip to Key West for one week.
She calls two car rental companies to get prices.
Mr. Kotter's Rentals rents a Cadillac Escalade for $99 foe one week plus $0.11 per mile over 100 miles.
Barbino's Rentals has the same vehicle for $75 per week and $0.15 per mile over 150 miles.
If it is 432 miles to Key West, which company has the better deal?
:
Find the cost of each for a 432 mi trip
K = .11(432-100) + 99
K = .11(332) + 99
K = 36.52 + 99
K = $135.52
:
B = .15(432-150) + 75
B = .15(282) + 75
B = 42.30
B = $117.30
:
How many miles would Glenna drive before she would be spending the same amount
at either company?
Let m = miles
K's cost = B's cost
.11(m-100) + 99 = .15(m-150) + 75
.11m - 11 + 99 = .15m - 22.50 + 75
.11m + 88 = .15m + 52.50
88 - 52.50 = .15m - .11m
35.5 = .04m
m =
m = 887.5 miles to cost the same
