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

The standard form of a linear function is $y = mx + b$, where $m$ is the rate of change (slope) and $b$ is the initial value (y-intercept).

Step2: Substitute given values

We are given $m=8$ and $b=12$. Substitute these into the linear function form: $y = 8x + 12$

Answer:

$y = 8x + 12$