Question

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. (1 point) Responses 45x=20+5x 45 x equals 20 plus 5 x 20x=45x+5 20 x equals 45 x plus 5 20x=45+5x 20 x equals 45 plus 5 x 5x=20x+45

Answer 1

To find the number of visits per month where the costs of both plans are equal, we can set up the equations based on the two plans:

1. **First plan**: The cost is $20 per visit, so the total cost for \(x\) visits will be:
\[
C_1 = 20x
\]

2. **Second plan**: The cost is $45 per month plus $5 per visit, so the total cost for \(x\) visits will be:
\[
C_2 = 45 + 5x
\]

To find when these two costs are equal, we set the equations equal to each other:
\[
20x = 45 + 5x
\]

Thus, the equation you are looking for is:
\[
20x = 45 + 5x
\]

This matches none of the exact formats in your responses, but it can be simplified and solved from this point.