A dance studio has two participation plans. For the first plan, the cost is $20 per visit. For the second plan, the cost is $45 per month, and $5 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 per visit is $20, so the equation for the total cost is C1 = 20x, where x is the number of visits per month.

For the second plan, the cost is $45 per month and $5 per visit. So the equation for the total cost is C2 = 45 + 5x, where 45 represents the monthly fee and 5x represents the additional cost per visit.

To find the number of visits per month that would make the two plans equal, we set the two equations equal to each other and solve for x:

20x = 45 + 5x

Subtracting 5x from both sides:

20x - 5x = 45

15x = 45

Dividing both sides by 15:

x = 3

Therefore, it would take 3 visits per month for the two plans to be equal in cost.