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Diane is going to rent a truck for one day. There are two companies she can choose from, and they have
Company A charges $74 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.60 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.
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rspill6

Answer:

Step-by-step explanation:

Company A Total Cost:  Ca = $74

Company B Total Cost:  Cb = $65+$0.60m, where m is the miles driven.

We want to find for what values of m with Company A charge less than Company B:

Ca < Cb  ?

$74 < $65 + $0.60m

$9 < $0.60m

15 < m

m > 15 miles

Company A will cost less than Company B when less than 15 miles are driven.  The costs are the same for 15 miles and higher for Company B beyond 15 miles.