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this table contains ordered pairs for a function y =f(x).X Y-2 5-7 16-10 19-11 22-13 40-15 51what is the average rate of change of the function from x=-7 to x=-13?The avarge change of rate is

this table contains ordered pairs for a function y fxX Y2 57 1610 1911 2213 4015 51what is the average rate of change of the function from x7 to x13The avarge c class=


Answer :

In order to determine the average rate of change, use the following formula:

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

where (x1,y1) and (x2,y2) are a pair of values of the given table.

In this case, you have:

x1 = -13, y1 = 40

x2 = -7, y2 = 16

Replace the previous values of the parameters into the formula for m, as follow:

[tex]m=\frac{16-40}{-7-(-13)}=-\frac{24}{-7+13}=-\frac{24}{6}=-4[/tex]

Hence, the average rate of change is -4

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