Question

Question

A yoga studio has two participation plans. For the first plan, the cost is $8 per visit. For the second plan, the cost is $40 per month, and $2 per visit. Write an equation to show the number of visits per month that it would take for the two plans to be equal. Use x
as your variable.(2 points)

Answer 1

To find the number of visits per month at which the two plans cost the same, we can set up an equation based on the costs of each plan:

1. First plan: The cost is $8 per visit. Therefore, the total cost for \( x \) visits is: \[ \text{Cost of Plan 1} = 8x \]

2. Second plan: The cost is a monthly fee of $40 plus $2 per visit. Therefore, the total cost for \( x \) visits is: \[ \text{Cost of Plan 2} = 40 + 2x \]

To find the point where the costs are equal, we set the two equations equal to each other: \[ 8x = 40 + 2x \]

This is the equation that shows the number of visits per month at which the two plans cost the same.