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.(1 point)

Answer 1

To find the number of visits per month at which the costs of the two plans are equal, we can set up the following equations based on the plans:

1. For the first plan (cost per visit): \[ \text{Cost}_1 = 8x \] where \( x \) is the number of visits.

2. For the second plan (monthly cost plus cost per visit): \[ \text{Cost}_2 = 40 + 2x \]

To find the number of visits \( x \) where both costs are equal, we set the equations equal to each other: \[ 8x = 40 + 2x \]

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