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)

1 answer

For the first plan, the cost is $8 per visit. So for x visits, the total cost would be 8x.

For the second plan, the cost is $40 per month, and $2 per visit. So for x visits, the total cost would be 40 + 2x.

To find the number of visits per month that it would take for the two plans to be equal, we can set the two equations equal to each other:

8x = 40 + 2x.

Now, we can solve for x:

8x - 2x = 40.

6x = 40.

x = 40/6.

Simplifying:

x = 20/3.

So, the equation to show the number of visits per month that it would take for the two plans to be equal is:

8x = 40 + 2x.