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
initial value: 12
write the equation of the function.

Explanation:

Step1: Recall linear function form

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

Step2: Substitute \( m \) and \( b \)

Given rate of change \( m = 8 \) and initial value \( b = 12 \), substitute into the linear function formula.
So the equation is \( y = 8x + 12 \).

Answer:

\( y = 8x + 12 \)