Question

You ride an express bus from the center of town to your street. You have two payment options. Option A is to buy a monthly pass and pay $0.80 per ride. Option B is to pay $2.30 per ride. A monthly pass costs $30. After how many rides will the total costs of the two options be the same?

Answer 1

Find out the after how many rides will the total costs of the two options be the same .

To proof

let us assume that the number of rides is represent by r.

As given

You ride an express bus from the center of town to your street

You have two payment options.

Option A is to buy a monthly pass and pay $0.80 per ride.

Option B is to pay $2.30 per ride.

A monthly pass costs $30.

than the equation is become in the form

30 + 0.80r = 2.30r

30 = 1.5r

`r = (30)/(1.5)`

r = 20

Therefore after 20 rides the two options be the same.

Hence proved