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 would cost the same, we can set up an equation based on the total cost for each plan.

1. First Plan (Pay per Visit): The cost for this plan is \( 8x \), where \( x \) is the number of visits.
2. Second Plan (Monthly Fee + Pay per Visit): The cost for this plan is \( 40 + 2x \).

We want to set these two costs equal to each other:

\[ 8x = 40 + 2x \]

This equation represents the number of visits \( x \) at which the costs of the two plans are the same.