Question

Linda 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 80 cents for every mile driven. Company B charges an initial fee of $55 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

The mileage for which the company A will charge more is 125

Explanation:

The charge of company A = 60 cents per mile

The charge of company B = 40 cents per mile + $75

Now , Let the number of miles driven = m

So, 60 m = 40 m + $ 75

1 $ = 100 cents

Or , 60 m - 40 m = 75 × 100 cents

Or, 20 m = 7500 cents

m =
`(7500)/(20)`

or, Number of miles driven = 375 miles

The charge of company A = 60 × 375 = 22,500 cents

The charge of company B = 40 × 375 + 7500 = 22,500 cents

So, Here Both company charge is same

Now Let The mileage for which company charge more = m'

SO,60 × (375 - m') = 40 × 375

or,22500 - 60 m'= 15000

Or,60 m' = 7500

So ,m' =
`(7500)/(60)` = 125

Hence The mileage for which the company A will charge more is 125 Answer