Question

A dance studio charges an application fee of $75 and $50 per month for membership. This is represented by the linear equation C = 50x + 75, where C represents the cost and x represents the number of months. They are running a "no application fee" special during the month of January. How should the linear equation be changed to represent the new price?

Answer 1

The modified linear equation after waiving the $75 application fee is C = 50x, representing the new cost of the dance studio's membership during the special.

Step-by-step explanation:

The dance studio's original cost for membership is represented by the linear equation C = 50x + 75, where C represents the total cost and x represents the number of months of membership. During the 'no application fee' special, the application fee of $75 is waived. Therefore, the new linear equation that represents the cost without the application fee would simply be C = 50x. In this equation, the cost C is only dependent on the $50 monthly fee times the number of months x a student is signed up for.

Answer 2

As per the linear equation: C = 50x + 75 75 -> represents application fee x -> the number of months C -> Total cost Now, no application fee means '0' So the equation becomes, C = 50x + 0 which can be simplified to C = 50x Answer: C = 50x