Question

Maya 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 has no Initial fee but charges 70 cents for every mile driven.Company B charges an initial fee of $70 and an additional 60 cents for every mile driven.For what mileages will Company A charge more than Company B?Use m for the number of miles driven, and solve your inequality for m.

Answer 1

We must first consider the inequality

$0+0.7m>70+0.6m$

This is because company A has no initial fee and charges 70 cents per mile driven, and company B has a $70 initial fee and charges 60 cents per mile driven, and we're interested in seeing when company's A rate will be higher than company's B.

So, we solve the inequality.

$0.7m>0.6m+70$$0.1m>70$$m>700$

Thus, company A will charge more than company B for distances longer than 700 miles.