Hey yoga studio has two participation plans. For the first plan, the cost is $8 per visit. For the second plan, $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.
Let's write an equation to represent the cost of each plan.
For the first plan, the cost is $8 per visit. Therefore, the cost for x visits would be 8x dollars.
For the second plan, the cost is $40 per month, plus $2 per visit. This can be represented as 40 + 2x dollars.
To find the number of visits per month that it would take for the two plans to be equal, we need to equate the costs and solve for x.
8x = 40 + 2x
Let's represent the number of visits per month as "x".
For the first plan, the cost is $8 per visit.
So, the total cost for x visits per month would be 8x.
For the second plan, the cost is $40 per month, and $2 per visit.
So, the total cost for x visits per month would be 40 + 2x.
To find when both plans would be equal, we can set these two equations equal to each other:
8x = 40 + 2x
To determine the number of visits per month where the costs of the two plans are equal, we can set up an equation.
For the first plan, the cost is $8 per visit. If we visit x times, the cost would be 8x.
For the second plan, there is a fixed monthly cost of $40, and an additional $2 per visit. So the cost for the second plan would be $40 + $2x.
To find the number of visits per month where the costs are equal, we can set up the equation:
8x = 40 + 2x
Now, we can solve this equation to find the value of x.