Question

of each class y, as a function of the number of sessions attended, x.

• pottery class: $y = 10x + 15$
• initial value for the pottery class: 15

initial value for the drawing class: 0

• 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 10.
• what is the cost per session for the drawing class?

find the rate of change of the function.

• the rate of change for the drawing class is
• drawing class:

number of sessions	0	1	2	3	4
total cost ($)	0	16	32	48	64

Explanation:

Step1: Recall rate of change formula

The rate of change (slope) for a linear function from a table is calculated as $\frac{\Delta y}{\Delta x}$, where $\Delta y$ is the change in total cost and $\Delta x$ is the change in number of sessions.

Step2: Select two points from the table

Take two consecutive points, e.g., $(0, 0)$ and $(1, 16)$. Here, $\Delta x = 1 - 0 = 1$ and $\Delta y = 16 - 0 = 16$.

Step3: Calculate rate of change

Using the formula $\frac{\Delta y}{\Delta x}$, we get $\frac{16}{1} = 16$. We can verify with other points (e.g., $(1,16)$ and $(2,32)$: $\frac{32 - 16}{2 - 1} = 16$) to confirm.

Answer:

16