Question

Dan 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 $88 and allows unlimited mileage. Company B has an initial fee of $55 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.​

Answer 1

`\textsf {55 miles}`

Explanation:

`\textsf {Company A}`

`\textsf {Fee = 88}`

`\textsf {Mileage = unlimited (0 charged)}`

`\textsf {Equation = 88 (Statement 1)}`

`\textsf {Company B}`

`\textsf {Fee = 55}`

`\textsf {Mileage = 0.60 per mile}`

`\textsf {Equation = 55 + 0.60m (Statement 2)}`

`\textsf {Now, the inequality will be :}`

`\mathsf {88 < 55 + 0.60m}`

`\mathsf {0.60m > 33}`

`\mathsf {m > (33)/(0.60) }`

`\mathsf {m > 55}`

Hence, for Company A will charge less than Company B when the mileage is greater than 55 miles.