Question

a dance school offers classes in ballet folklórico. there is a one - time registration fee and an additional charge for each class. the total cost of classes, y, is a linear function of the number of classes taken, x. three classes cost $36. seven classes cost $68. points on the graph: (3, 36) and (7, 68) rate of change: 8 substitute the rate of change into the equation. y = mx + b y =? x + b (options: 3, 7, 8, 36, 68)

Explanation:

Step1: Recall linear equation form

The linear function is in the form \( y = mx + b \), where \( m \) is the slope (rate of change) and \( b \) is the y - intercept.

Step2: Substitute the rate of change

We are given that the rate of change (slope \( m \)) is 8. So we substitute \( m = 8 \) into the equation \( y=mx + b \). So the equation becomes \( y = 8x + b \).

Answer:

8