To determine the rate of change of a linear function given as a table of values, we can use two points from the data provided. From your question, it seems like the points might be represented as (2.6, -6) and (3.2, 3).
The rate of change (slope) of a linear function can be found using the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
where \( (x_1, y_1) \) and \( (x_2, y_2) \) are two points on the function.
Using the points you provided:
- \( (x_1, y_1) = (2.6, -6) \)
- \( (x_2, y_2) = (3.2, 3) \)
Plugging in these values:
\[ m = \frac{3 - (-6)}{3.2 - 2.6} \] \[ m = \frac{3 + 6}{3.2 - 2.6} \] \[ m = \frac{9}{0.6} \] \[ m = 15 \]
Thus, the rate of change of the linear function based on the provided points is 15.