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

Question

as your variable. (1 point)
Responses

20x=45+5x
20 x equals 45 plus 5 x

5x=20x+45
5 x equals 20 x plus 45

45x=20+5x
45 x equals 20 plus 5 x

20x=45x+5
20 x equals 45 x plus 5
Remaining Attempts : 3
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Answer 1

To determine the number of visits per month \( x \) where both plans would cost the same, we can set up the equations for each plan.

1. First Plan: Cost is $20 per visit.

   • Total cost for \( x \) visits: \( 20x \)

2. Second Plan: Cost is $45 per month plus $5 per visit.

   • Total cost for \( x \) visits: \( 45 + 5x \)

Now, we can set these two total costs equal to each other:

\[ 20x = 45 + 5x \]

Therefore, the correct equation that shows the number of visits per month that it would take for the two plans to be equal is:

\[ \boxed{20x = 45 + 5x} \]