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?

10
15
100
150

Explanation:

Set up the system of equations

Using the Systems of Linear Equations knowledge point

$$
LATEXBLOCK0
$$

where \(x\) is the number of classes and \(y\) is the total cost.

Solve for x

Using the Linear Equation Solving knowledge point

$$
LATEXBLOCK1
$$

Answer:

• (A) 10 (Correct answer)
• (B) 15
• (C) 100
• (D) 150