Mathematics: Choose the correct number to finish the sentence. For the function f(x)=√x+4, the average rate of change to the nearest hundredth over the interval 2 ≤ x ≤ 6 is? A. 0.2 B. 0.17 C. 0.16 D. 0.18

Around $5, if u cut 48 down multiple times to match it with each other, 25 equals 6 so its around $5...

Choose the correct number to finish the sentence.

eemorales5100

29.01.2022

0.18

Step-by-step explanation:

we khow that for a function F the average rate of change over the interval [x;y] is given by the relation :

$\frac{f(y)-f(x}{y-x}$

let's do the same here :

the interval we are working on is [2;6] So y = 6 and x = 2

Let's apply the relation :

$\frac{f(6)-f(2)}{6-2}$ = $\frac{\sqrt{6+4}-\sqrt{2+6} }{6-2}$

= $\frac{\sqrt{10}-\sqrt{6} }{4}$

= 0.1781

After rounding it to the nearest hundredth we get 0.18

0.1781≈ 0.18

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