Question

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

Answer 1

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:

$m=\frac{f(x)_{2}-f(x)_{1}}{x_{2}-x_{1}}$

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

$m=\frac{k(5)-k(-3)}{5-(-3)}=\frac{k(5)-k(-3)}{5+3}$

Answer 2

Answer:

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

                          $=\dfrac{k(5)-k(-3)}{5-(-3)}$

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:

       $Rate\ of\ change=\dfrac{f(b)-f(a)}{b-a}$

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

$=\dfrac{k(5)-k(-3)}{5-(-3)}$

(  Since here a= -3 and b=5  )