Question

Determine the rate of change of the linear function given as a table of values.

(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the rate of change of a linear function from a table of values, we need to find the difference in the y-values (output values) divided by the difference in the x-values (input values) for any two points on the line.

For example, let's say we have the following table of values for a linear function:

x | y
-------
1 | 3
2 | 6
3 | 9
4 | 12

To find the rate of change, we can choose any two points from the table. Let's choose the first and second points, (1, 3) and (2, 6):

Rate of change = (change in y) / (change in x)
= (6 - 3) / (2 - 1)
= 3 / 1
= 3

Therefore, the rate of change of the linear function from the given table of values is 3.