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.

Answer 1

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

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

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 = 2x + 40

Simplifying the equation by subtracting 2x from both sides:

8x - 2x = 40

Bringing like terms together:

6x = 40

Dividing both sides by 6:

x = 40 / 6

Simplifying the fraction:

x = 20/3

Hence, the equation to show the number of visits per month that it would take for the two plans to be equal is x = 20/3.

Answer 2

My thing says that answer is wrong

Answer 3

Apologies for the error. Let's try solving it again:

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

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

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 = 2x + 40

Subtracting 2x from both sides:

8x - 2x = 2x + 40 - 2x

Simplifying the equation:

6x = 40

Dividing both sides by 6:

x = 40 / 6

Simplifying the fraction:

x = 20/3

So, the correct equation to show the number of visits per month that it would take for the two plans to be equal is x = 20/3.