Question

Use the table to answer the question.

x y
2 22
8 25
Determine the rate of change and the initial value of the linear function given here as a table of values.

(1 point)
The rate of change is m=__, and the initial value is b=__

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the rate of change (slope), we can use the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (2, 22) and (8, 25):

m = (25 - 22) / (8 - 2)
m = 3 / 6
m = 0.5

So, the rate of change is m = 0.5.

To find the initial value (y-intercept), we can use the formula y = mx + b and substitute one of the points:

22 = 0.5(2) + b
22 = 1 + b
b = 21

The initial value is b = 21.