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 for $30 and pay $0.80 per ride, r. Option B is to pay $2.30 per ride. Write an equation to show after how many rides the cost will be the same.

Answer 1

Explanation:

Let x represent the number of miles after which the cost of both options will be the same.

You have two payment options. Option A is to buy a monthly pass for $30 and pay $0.80 per ride. This means that the total amount that you would pay for x miles if you use this option is

0.8x + 30

Option B is to pay $2.30 per ride. This means that the total amount that you would pay for x miles if you use this option is

2.3x

An equation to show after how many rides the cost will be the same would be

0.8x + 30 = 2.3x

2.3x - 0.8x = 30

1.5x = 30