Respuesta :

SonOfZeus

Answer:

(k(5)-k(-3))/(5+3)

Step-by-step explanation:

Rate of change is the slope.  We can determine the slope by using the following equation:

[tex]m=\frac{f(x)_{2}-f(x)_{1}}{x_{2}-x_{1}}[/tex]

Where in this case f(x) = k(x) and so we have:

[tex]m=\frac{k(5)-k(-3)}{5-(-3)}=\frac{k(5)-k(-3)}{5+3}[/tex]

Answer:

The expression that gives the average rate of change of k on -3 ≤ x ≤ 5 is:

                          [tex]=\dfrac{k(5)-k(-3)}{5-(-3)}[/tex]

Step-by-step explanation:

Average rate of change is average rate at which one quantity changes with respect to the change in the other quantity.

 We know that the average rate of change of a function f(x) in the interval [a,b] is given  by the formula:

       [tex]Rate\ of\ change=\dfrac{f(b)-f(a)}{b-a}[/tex]

Hence, the average rate of change of k on -3 ≤ x ≤ 5 is calculated by using the formula:

[tex]=\dfrac{k(5)-k(-3)}{5-(-3)}[/tex]

(  Since here a= -3 and b=5  )

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