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?

we have

we know that

the solution of the system of equations is the point of intersection of both graphs

using a graph tool

see the attached figure

the solution is the point

that means

for a total of classes

the total cost is $

check both equations

dance world

toe tappers

the total cost is the same at both dance studios

therefore

the answer is

it is not that hard all u have to do is plot the graph

step-by-step explanation:

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.