Lashonda 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 $96 and allows unlimited mileage. Company B has an initial fee of
$75 and charges an additional
$0.70 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.
Explanation: For company A: The charge is: $96 for any number of mileage ..............> I For company B: The charge is $75 fixed and 0.7 for each mileage m. This means that the charge is: 75 + 0.7m .................> II
We want the charge of company A to be less than the charge of company B. This means that we want I to be less than II. Therefore, 96 < 75 + 0.7m 96 - 75 < 0.7m 21 < 0.7m 21/0.7 < m 30 < m
This means that for any mileage greater than 30, the charge of company A will be less than the charge of company B
