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

10 just took it on edge

Answer 2

Gina would need to take 10 classes.

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 = (25)/(2.5)`

`x = 10`

Gina would need to take 10 classes.