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Recognizing Linear Functions

Recognizing Linear Functions 1.2 - Solution

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a

We want to find the rate of change for the linear function described by the following data set.

Let's determine the change in and the change in between each data point.

We find the rate of change by using the following relationship. By using the first two rows we can determine the rate of change for the linear function.
Thus, the linear function has a rate of change of
b

To determine the rate of change in the given table, we will first determine the change in and the change in between each row.

The rate of change is defined as the change in over the change in Let's use the change in and the change in between the first and the second row in the table to find the rate of change.
We can conclude that the linear function has a rate of change of