a dance school offers classes in ballet folklórico. there is a one - time registration fee and an additional…

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. \npoints on the graph: (3, 36) and (7, 68)\nrate of change: 8\ninitial value: 12\nwrite the equation of the function.

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. \npoints on the graph: (3, 36) and (7, 68)\nrate of change: 8\ninitial value: 12\nwrite the equation of the function.

Answer

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 )