The average rate of change, in simplest form, is -2/5
The rate of change of the function is its gradient or slope.
The formula for calculating the gradient of a function is expressed as:
[tex]m=\frac{dy}{dx}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the coordinate points from the table (0, 41) and (15, 35)
Substitute the coordinate into the expression:
[tex]m= \frac{35-41}{15-0}\\m=\frac{-6}{15}\\m=\frac{-2}{5}[/tex]
Hence the average rate of change, in simplest form is -2/5
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