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
solve for b to find the initial value.
$y = 8x + b$
$68 = 8(7) + b$
$square = b$

Explanation:

Step1: Calculate 8(7)

First, we need to compute the value of \( 8\times7 \).
\( 8\times7 = 56 \)

Step2: Solve for \( b \)

We have the equation \( 68 = 8(7)+b \), and we know \( 8(7)=56 \), so substitute that into the equation:
\( 68 = 56 + b \)
To solve for \( b \), subtract 56 from both sides of the equation:
\( b=68 - 56 \)
\( b = 12 \)

Answer:

12