Question
Determine the rate of change of the linear function given as a table of values.
Answers
Answered by
GPT 3.5
To determine the rate of change of a linear function given as a table of values, you can find the difference in the y-values (vertical change) divided by the difference in the x-values (horizontal change) for any two points in the table.
For example, let's consider the following table:
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 points (1, 3) and (3, 9). The vertical change or difference in y-values is 9 - 3 = 6, and the horizontal change or difference in x-values is 3 - 1 = 2.
So, the rate of change of this linear function is 6/2 = 3.
For example, let's consider the following table:
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 points (1, 3) and (3, 9). The vertical change or difference in y-values is 9 - 3 = 6, and the horizontal change or difference in x-values is 3 - 1 = 2.
So, the rate of change of this linear function is 6/2 = 3.