Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.

Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x

How many classes would Gina need to take for the total cost to be the same at both dance studios?

10
15
100
150

Respuesta :

Answer:

10

Step-by-step explanation:

15 x 10 = 150

(12.5 x 10) = 125 + 25 = 150

By solving a linear equation we will see that the cost is the same for 10 clases.

How many classes would Gina need to take for the total cost is the same?

The cost will be the same when:

15x = 25 + 12.5x

So we need to solve that linear equation, if we subtract 12.5 x in both sides we get:

15x - 12.5x = 25

2.5x = 25

x = 25/2.5 = 10

x = 10

Then we conclude that for 10 clases, the cost is the same.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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