Teresa is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.

Question

Company A charges $99 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

they'll charge the same when 99 = 55 +.8M

M = (99-55)/.8 = 44/.8 = 440/8 = 55 miles at the same cost

for less than 55 miles, Company A costs more

for more than 55 miles Company B cost less

Compnay A charges less for less than 55 miles

99 < 55 + .8M

99-55 < .8M

44 < .8M

44/.8 < M

55 < M

M > 55 miles when Company A is less expensive

unlimited mileage is less expenssive the more miles driven