Question

A yoga studio has two participation plans. The first plan costs $10 per visit. The second plan costs $30 per month, and $4 per visit. How many visits would make the cost of both plans the same?(1 point)

Answer 1

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

Answer 2

Let's assume that the number of visits that would make the cost of both plans the same is x.
For the first plan, the cost per visit is $10, so the total cost for x visits would be 10x.
For the second plan, the monthly cost is $30, and the cost per visit is $4, so the total cost for x visits would be 30 + 4x.
To find the number of visits that would make the cost of both plans the same, we equate the total costs for both plans: 10x = 30 + 4x.
Simplifying the equation, we get: 6x = 30.
Dividing both sides of the equation by 6, we find: x = 5.
Therefore, 5 visits would make the cost of both plans the same. Answer: \boxed{5}.

Answer 3

Let's assume that the number of visits per month that would make the cost of both plans equal is x.

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

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

To find the number of visits per month that would make the cost of both plans equal, we equate the total costs for both plans:
8x = 40 + 2x.

Simplifying the equation, we get:
6x = 40.

Dividing both sides of the equation by 6, we find:
x = 40/6.

Therefore, the equation that represents the number of visits per month that would make the cost of both plans equal is:
x = 40/6.