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tangare [24]
2 years ago
6

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

Mathematics
2 answers:
elena-s [515]2 years ago
7 0

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}

<u>Given</u>:

  • f(x) = 9x
  • interval:  0 ≤ x ≤ 8

Therefore:

  • a = 0
  • b = 8

<u>Substitute</u> the given values into the <u>average rate of change</u> 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:

brainly.com/question/27986470

brainly.com/question/27794689

sveta [45]2 years ago
5 0

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

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