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

To find the number of visits per month at which the two plans are equal, we can set up an equation based on the cost structure of each plan.

Let \( x \) be the number of visits per month.

For the first plan, the cost is: \[ \text{Cost}_1 = 8x \]

For the second plan, the cost is: \[ \text{Cost}_2 = 40 + 2x \]

To find the number of visits where the costs are equal, we set the two costs equal to each other:

\[ 8x = 40 + 2x \]

This equation can be solved for \( x \) to find the number of visits at which both plans cost the same.