Answer:
[tex] a = 2 , f(2)=9[/tex]
[tex] b = 4 , f(4)=64[/tex]
And replacing the data into the average rate formula we got:
[tex] m = \frac{64-9}{4-2}= 27.5[/tex]
And then the best answer for this case would be:
C. 27.5
Step-by-step explanation:
For this cae we know that the average rate of change of a function is given by this general expresion:
[tex] m = \frac{f(b) -f(a)}{b-a}[/tex]
For this special case from the info of the table we have:
[tex] a = 2 , f(2)=9[/tex]
[tex] b = 4 , f(4)=64[/tex]
And replacing the data into the average rate formula we got:
[tex] m = \frac{64-9}{4-2}= 27.5[/tex]
And then the best answer for this case would be:
C. 27.5
