Question

Shen 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 $110 and allows unlimited mileage.
Company B has an initial fee of $65 in charges an additional $0.90 for every mile driven.
For what mileages Will company a charge less than Company B

Answer 1

The mileages for which company A charge less than company B when , y
`>` 50 .

Explanation:

Given as :

The two truck companies have following prices

Company A

The initial fee = i = $110

And unlimited mileage

Company B

The initial fee = I = $65

Additional charge = $0.90 per mile driven

Let it driven x mile

Let The mileages for which company A charge less than company B = y

Now, According to question

Charges of company A = charges of company B

i.e i = I + 0.90 × x

Or, $110 = $65 + 0.90 × x

Or, $110 - $65 = 0.90 × x

Or, $45 = 0.90 × x

∴ x =
`(45)/(0.90)`

i.e x = 50

i.e Company B driven x = 50 miles

So, The mileages for which company A charge less than company B = y

And y
`>` x

i.e y
`>` 50

Hence, The mileages for which company A charge less than company B when , y
`>` 50 . Answer