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?
a. 10
b. 15
c. 100
d. 150

Option A.

Step-by-step explanation:

The total cost of Dance world is defined by the function

The total cost of Toe Tappers is

where, x is the number of classes.

We need to find the number of classes at which the cost of both dance studios are same.

Equate both equations.

Subtract 12.5x from both sides.

Divide both sides by 2.5.

It means 10 classes Gina need to take for the total cost to be the same at both dance studios.

Therefore, the correct option is A.

you can't solve x because it is 2 linear equation and you only have one equation