Question

Use the table to answer the question.

x = 2 y = 22
x = 8 y = 28
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]

The rate of change can be determined by calculating the change in y divided by the change in x:

m = (28 - 22) / (8 - 2)
m = 6 / 6
m = 1

Therefore, the rate of change is 1.

To find the initial value (y-intercept or b), we can substitute the values of x and y from one of the points into the equation of a line (y = mx + b):

22 = 1(2) + b
22 = 2 + b
b = 20

Therefore, the initial value is 20.