A yoga studio has 2 participation plans. For the first plan, cost $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.
For the first plan, the cost per visit is $8. If the number of visits per month is x, then the total cost for the first plan is 8x.
For the second plan, the monthly cost is $40 and there is an additional cost of $2 per visit. So, if the number of visits per month is x, then the total cost for the second plan is 40 + 2x.
To find the number of visits per month that it would take for the two plans to be equal, we set the two costs equal to each other:
8x = 40 + 2x
Simplifying the equation, we subtract 2x from both sides:
6x = 40
Dividing both sides by 6, we get:
x = 40/6 = 6.6667
Approximating the value, the number of visits per month that it would take for the two plans to be equal is approximately 6.67.
Therefore, 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