The equation C = 50x + 75 represents the cost (C) of dance classes at a dance studio. In this equation, x represents the number of dance classes taken each month.
To understand why x represents the number of dance classes, let's break down the equation. The term 50x represents the monthly rate for dance classes. The number 50 is the cost per dance class, and x represents the number of dance classes taken. When you multiply the cost per class (50) by the number of classes taken (x), you get the total monthly cost for dance classes.
The term 75 represents the application fee charged by the dance studio. This is a one-time fee that is added to the monthly rate. The application fee is constant, meaning it does not change based on the number of classes taken.
By combining the monthly rate (50x) with the application fee (75), you can calculate the total cost (C) for dance classes each month.
So, in summary, in the equation C = 50x + 75, x represents the number of dance classes taken each month.