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)

Question

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

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.

Answer 2

Let's assume that the number of visits per month is represented by the variable "x."

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 month is $40, and the cost per visit is $2. Hence, the total cost for x visits would be 40 + 2x.

To find the number of visits per month that would make the two plans equal, we set up an equation:

8x = 40 + 2x

Now we can solve this equation to find the value of x.

Answer 3

To solve this problem and find the number of visits per month at which the two plans are equal, let's set up an equation.

For the first plan, the cost per visit is $8. So the cost for x visits in a month can be represented as 8x.

For the second plan, the cost per month is $40. Additionally, there is an additional cost of $2 per visit. Therefore, the total cost for x visits in a month can be represented as 40 + 2x.

Setting these two costs equal to each other, we have the equation:

8x = 40 + 2x

Now, we can solve for x to find the number of visits per month at which both plans are equal.

Subtracting 2x from both sides of the equation:

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

6x = 40

Finally, divide both sides of the equation by 6 to solve for x:

x = 40/6

x ≈ 6.67

Therefore, it would take approximately 6.67 visits per month for the two plans to be equal in cost.