Question

a student center offers summer classes at different prices. the equation and table show the total cost of each class, y, as a function of the number of sessions attended, x. pottery class: y = 10x + 15 drawing class: initial value for the pottery class: 15 initial value for the drawing class: 0 number of sessions 0 1 2 3 4 total cost ($) 0 16 32 48 64 what is the cost per session for the pottery class? find the rate of change of the function. the rate of change for the pottery class is .

Explanation:

Step1: Recall slope-intercept form

The equation for the pottery class is \( y = 10x + 15 \), which is in the slope - intercept form \( y=mx + b \), where \( m \) is the slope (rate of change) and \( b \) is the y - intercept (initial value).

Step2: Identify the rate of change

In the equation \( y = 10x+15 \), the coefficient of \( x \) is 10. The rate of change (cost per session) for a linear function in the form \( y = mx + b \) is given by \( m \). So, the rate of change (cost per session) for the pottery class is the coefficient of \( x \) in its cost function.

Answer:

10