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

Question

as your variable.(2 points)

Answer 1

To determine the number of visits per month at which the two plans cost the same, we can set up an equation where the costs of both plans are equal.

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

1. For the first plan, the cost is \( 8x \) (since it costs $8 per visit).
2. For the second plan, the cost is \( 40 + 2x \) (since there is a base fee of $40 per month and $2 for each visit).

Now we can set the two cost equations equal to each other:

\[ 8x = 40 + 2x \]

This is the equation you can use to find the number of visits per month where both plans are equal in cost.