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Answered

This table shows values represented by an exponential function.
х
0
1
у
1
3
9
2.
3
4
27
64
125
5
6
216
What is the average rate of change for this function for the interval from x= 1
to x = 3?

This Table Shows Values Represented By An Exponential Function Х 0 1 У 1 3 9 2 3 4 27 64 125 5 6 216 What Is The Average Rate Of Change For This Function For Th class=

Answer :

Akposevictorgo

Answer:

C. 12

Step-by-step explanation:

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

a = 1, f(a) = 3

b = 3, f(b) = 27

Average rate of change = [tex] \frac{27 - 3}{3 - 1} [/tex]

Average rate of change = [tex] \frac{24}{2} = 12 [/tex]

Average rate of change for the interval from x = 1 to x = 3 is 12

Adefioyelaoyego

The average rate of change for this function for the interval from x= 1

to x = 3 is 12.

What is Rate?

This is defined as the ratio between two related quantities in different units.

Average rate of change = f(b) - f(a) / (b - a)

We were given a = 1, f(a) = 3 ,b = 3, f(b) = 27

= 27 - 3 / 3 - 1

= 24 / 2 = 12.

The average rate of change for the interval from x = 1 to x = 3 is therefore 12 thereby making option C the most appropriate choice.

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