Question

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?

Answer 1

Answer:

Gina would need to take 10 classes.

Step-by-step explanation:

Cost of x classes at dance studio:

$y_d(x) = 15x$

Cost of x classes at toe tappers:

$y_t(x) = 25 + 12.5x$

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:

$y_d(x) = y_t(x)$

So

$15x = 25 + 12.5x$

$2.5x = 25$

$x = \frac{25}{2.5}$

$x = 10$

Gina would need to take 10 classes.

Answer 2

Answer:

10 just took it on edge