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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.

Shawn and Mary wrote down two different functions that have the same rate of change Shawns function is represented by the table shown Graph a function that coul class=

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

[tex]\frac{y_1-y_2}{x_1-x_2}.[/tex]

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

[tex]\frac{-5-(-1)}{-1-1}.[/tex]

Simplifying the above result we get:

[tex]\begin{gathered} \frac{-5+1}{-2}, \\ \frac{-4}{-2}, \\ 2. \end{gathered}[/tex]

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

[tex]y=2x.[/tex]

Answer:

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