Deandre is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges
$117
and allows unlimited mileage.
Company B has an initial fee of
$65
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
.

Question

Deandre is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges 
$117
 and allows unlimited mileage.
Company B has an initial fee of 
$65
 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
 .

anonymous · Answer

@e.mccormick   @ganeshie8

texaschic101 · Answer

117 < 65 + 0.80m
117 - 65 < 0.80m
52 < 0.80m
52/0.80 < m
65 < m

check...
117 < 65 + .80(66)
117 < 65 + 52.8
117 < 117.80 (correct)

Company A will charge less then Company B if the miles are more then 65

texaschic101 · Answer

65 miles would make them equal, but 66 or more miles will allow company A to charge less