Sam 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 $108 and allows unlimited mileage.
Company B has an initial fee of $75 and charges an additional $0.60 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.
Let's compare the total cost of renting a truck for one day from Company A and Company B based on the number of miles driven (m).
Company A: $108 for unlimited mileage
Company B: Total Cost = $75 + $0.60*m
To find out when Company A is cheaper than Company B, we need to set up the inequality:
$108 < $75 + $0.60*m
Substitute the values into the inequality:
$108 < $75 + $0.60*m
Subtract $75 from both sides:
$33 < $0.60*m
Divide by $0.60 on both sides to isolate m:
m > $33 / $0.60
m > 55
Therefore, Company A will charge less than Company B for mileages greater than 55 miles.