Question

Shawn and Mary wrote down two different functions that have the same rate of change. Shawn's function is represented by the table shown. Graph a function that could be Mary's function on the coordinate plane below.

Answer 1

To answer this question we will use the following formula to compute the rate of change of a linear function:

$\frac{y_1-y_2}{x_1-x_2}.$

Then the rate of change of Shawn's function is:

$\frac{-5-(-1)}{-1-1}.$

Simplifying the above result we get:

$\begin{gathered} \frac{-5+1}{-2}, \\ \frac{-4}{-2}, \\ 2. \end{gathered}$

Then, the graph of Mary's function is a line with a slope of 2 that does not passes through (1,-1), for example:

$y=2x.$

Answer: