Which expression below gives the average rate of change of k on -3 ≤ x ≤ 5 ?

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SonOfZeus SonOfZeus · Answer 1 · 2018-12-10T17:35:45+01:00

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]

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erato erato · Answer 2 · 2019-07-03T12:59:06+02:00

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]

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 )