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.

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.

Answer 1

For the first plan, the cost is $8 per visit. Therefore, the cost for x visits in a month would be 8x dollars.

For the second plan, the cost is $40 per month plus $2 per visit. The total cost for x visits in a month would be 40 + 2x dollars.

To find the number of visits per month that it would take for the two plans to be equal, we can set up the following equation:

8x = 40 + 2x

Answer 2

Let's use x as the variable to represent the number of visits per month.

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

For the second plan, the cost is $40 per month and $2 per visit. So the total cost for x visits in a month 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 up the following equation:

8x = 40 + 2x

Simplifying this equation, we get:

8x - 2x = 40

6x = 40

Dividing both sides by 6, we get:

x = 40/6

So, the number of visits per month that it would take for the two plans to be equal is approximately 6.67 visits.

Answer 3

To find the equation that represents the number of visits per month when the cost of both plans is equal, we need to consider the total cost for each plan.

For the first plan, the cost is $8 per visit. So, if a person attends x visits in a month, the total cost for the first plan would be 8x.

For the second plan, the cost is $40 per month plus $2 per visit. In this case, the total cost for x visits in a month would be 40 + 2x.

To find the equation representing the number of visits per month when the costs are equal, we can set the two expressions equal to each other:

8x = 40 + 2x

Simplifying this equation, we can combine like terms:

8x - 2x = 40

6x = 40

Finally, we can solve for x by dividing both sides of the equation by 6:

x = 40/6

Simplifying further, we get:

x ≈ 6.67

Therefore, the equation representing the number of visits per month required for the two plans to be equal is:

8x = 40 + 2x