Problema Solution
Trey 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 and allows unlimited mileage.
Company B has an initial fee of and charges an additional 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 provided by our tutors
Company A charges and allows unlimited mileage: lets say A charges 'a' dollars, a>0
Company B has an initial fee of and charges an additional for every mile driven: lets say B charges initial fee of 'b1' dollars and 'b2' dollars for every mile driven, b1>0, b2>0
let 'm' be the number of miles driven
Company A will charge $a
Company B will charge: $(b1 + b2*m)
since we want Company A to charge less than Company B we have the following inequality
a < b1 + b2*m
m> (a - b1)/b2
for m> (a - b1)/b2 Company A charges less than company B.