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Lena is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.

Company A charges

$115

and allows unlimited mileage.

Company B has an initial fee of

$55

and charges an additional

$0.80

for every mile driven.

For what mileages will Company A charge less than Company B?

Use

m

for the number of miles driven, and solve your inequality for

m

.

Verified Answer :

bhtaylor

Cost of Company A: 114
Cost of Company B: 55 + 0.8m
Mileage where A is less than B:
114 < 55 + 0.8m
59 < 0.8m
m > 73.75 miles

purpleflapjack

Company A: 115.00 initial, 0.00 per mile
Company B: 55.00 initial, 0.80 per mile
Set the thing you want to be less than (Company A) less than the other (Company B).
115 < 55 + .8m (solve for m.)
60 < .8m
75 < m
Company A will charge less than Company B when the number of miles is greater than 75. (The charge will be equal at 75 miles.)

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