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 36 = 8(3) + b \boxed{} = b

Explanation:

Step1: Calculate 8(3)

First, we need to compute the value of \( 8\times3 \). According to basic multiplication, \( 8\times3 = 24 \). So the equation \( 36 = 8(3)+b \) becomes \( 36 = 24 + b \).

Step2: Solve for b

To find the value of \( b \), we subtract 24 from both sides of the equation \( 36 = 24 + b \). Using the subtraction property of equality, we have \( 36 - 24 = b \). Calculating \( 36 - 24 \), we get \( 12 = b \).

Answer:

12