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Examine the table, which represents a linear function. Input (C) output (y) 8 -40 -49 -58 What is the rate of change of the function? Enter your answer as a number, like this: 42(from MATH workbook 8A)

Examine the table which represents a linear function Input C output y 8 40 49 58 What is the rate of change of the function Enter your answer as a number like t class=

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Answer:

-3

Explanation:

To calculate the rate of change of the function, we pick two pairs of points.

(8, -40) and (17,-67)

We use the formula below:

[tex]\begin{gathered} \text{Rate of change}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{-67-(-40)}{17-8} \\ =\frac{-67+40}{17-8} \\ =\frac{-27}{9} \\ =-3 \end{gathered}[/tex]

The rate of change of the function is -3.

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