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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?

User Thomius
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2 Answers

3 votes

Answer:

10 just took it on edge

User Saquana
by
8.9k points
4 votes

Answer:

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.

User Anieka
by
7.8k points
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