Question

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)

Answer 1

-3

Step-by-step 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:

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

The rate of change of the function is -3.