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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?

Respuesta :

Answer:

Gina would need to take 10 classes.

Step-by-step explanation:

Cost of x classes at dance studio:

[tex]y_d(x) = 15x[/tex]

Cost of x classes at toe tappers:

[tex]y_t(x) = 25 + 12.5x[/tex]

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

This is x for which:

[tex]y_d(x) = y_t(x)[/tex]

So

[tex]15x = 25 + 12.5x[/tex]

[tex]2.5x = 25[/tex]

[tex]x = \frac{25}{2.5}[/tex]

[tex]x = 10[/tex]

Gina would need to take 10 classes.

Answer:

10 just took it on edge

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