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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

20x=45+5x
20 x is equal to 45 plus 5 x - no response given

20x=45x+5
20 x is equal to 45 x plus 5 - no response given

5x=20x+45
5 x is equal to 20 x plus 45 - incorrect

45x=20+5x

1 answer

To find the number of visits (x) per month where the costs of the two plans are equal, we need to set up equations based on the given information.

  1. The cost of the first plan (pay-per-visit) is \( 20x \) (where \( x \) is the number of visits).
  2. The cost of the second plan (monthly fee plus pay-per-visit) is \( 45 + 5x \).

We want to find \( x \) such that the costs are equal:

\[ 20x = 45 + 5x \]

So the correct equation is:

20x = 45 + 5x