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. Option B is to pay $2.30 per ride. After how many rides will the total costs of the two options be the same?

Answer 1

20 rides

Explanation:

Let x represent how many rides you take.

Option A's cost can be represented by 0.8x + 30.

Option B's cost can be represented by 2.3x.

Set these expressions equal to each other, then solve for x:

0.8x + 30 = 2.3x

30 = 1.5x

20 = x

So, the costs will be the same at 20 rides