Respuesta :

ANSWER

The rate of change of the graph is greater. It is twice the rate of change of the table.

EXPLANATION

First we have to find each rate of change.

For the table, the rate of change is:

[tex]\text{ rate of change}=\frac{y_1-y_2}{x_1-x_2}=\frac{-3-(-2)}{-4-(-2)}=\frac{-3+2}{-4+2}=\frac{-1}{-2}=\frac{1}{2}[/tex]

For the graph, we can use the intercept points to find the rate of change: (4,0) and (0, -4)

[tex]\text{ rate of change}=\frac{0-(-4)}{4-0}=\frac{4}{4}=1[/tex]

The rate of change of the graph is greater than the rate of change of the table, and it's 2 times greater

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