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4 years ago

8 1/2 is to 17 as 17 11 1/2 is to 23

Mathematics

1 answer:

Stella [2.4K]4 years ago

5 0

Hello from MrBillDoesMath!

Answer: Yes, (8 1/2) /`17 = ( 17 11/12) /23

** I think you meant 11 1/2 is to 23 NOT 17 11 1/2 is to 23"

Discussion:

First, 8 1/2 = 17/2 and

(17/2 ) / 17 = 1/2

Second 11 1/2 = 23/2 and

(23/2)/ 23 = 1/2

IN other words, the ratiors are the same:

8 1/2 11 1/2

------- = -------

17 23

Thank you,

MrB

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Step-by-step explanation:

We are given the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$

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The formula used to find average rate of change is : $Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}$

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$Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1$

So, the average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

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