Question

NO LINKS!!! Please help me with this problem​

Answer 1

Answer:

9

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

$\dfrac{f(b)-f(a)}{b-a}$

Given:

• f(x) = 9x
• interval:  0 ≤ x ≤ 8

Therefore:

• a = 0
• b = 8

Substitute the given values into the average rate of change formula:

$\begin{aligned}\implies \dfrac{f(8)-f(0)}{8-0} & = \dfrac{9(8)-9(0)}{8-0}\\\\& = \dfrac{72-0}{8-0}\\\\& = \dfrac{72}{8}\\\\& = 9\end{aligned}$

Therefore, the average rate of change of the function f(x) over the interval 0 ≤ x ≤ 8 is 9.

Learn more about average rates of change here:

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Answer 2

Answer:

9

Step-by-step explanation:

To find the rate of change we use the formula

f(x2) - f(x1)

------------------

x2 -x1

f(x) = 9x

x2 = 9  and x1 = 0

f(x2) = 9( 8) = 72

f(x1) = 9(0) =0

The rate of change is

72 - 0

------------

8-0

72

----

8

9

The rate of change is 9