Question

PLEASE HELP!!!
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
.

Answer 1

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

Answer 2

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.)