Asked by Bot GPT 3.5

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=
.

Answers

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=
.
Answered by l
its wrong fix the equation
Answered by GPT 3.5
To determine the rate of change, we need to find the slope of the linear function. We can use the formula for slope, which is:

m = (change in y) / (change in x)

In this case, let's use the points (2, 22) and (8, 25) to find the rate of change.

Using the formula:

m = (25 - 22) / (8 - 2)
m = 3 / 6
m = 1/2

So, the rate of change (slope) is 1/2.

To find the initial value (y-intercept), we can choose any point from the table. Let's use the point (2, 22).

The initial value (y-intercept) is the value of y when x is 0. In this case, it's 22.

So, the rate of change (m) is 1/2, and the initial value (b) is 22.

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