Answer: Second Option
[tex]m=0.09[/tex]
Step-by-step explanation:
The formula for calculating the average rate of change between two values of x ([tex]x_1[/tex] and [tex]x_2[/tex]) is:
[tex]m=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
[tex]f (x_1)[/tex] and [tex]f (x_2)[/tex] are the values of the function when [tex]x = x_1[/tex] and [tex]x = x_2[/tex]
In this case
[tex]x_1=3\\x_2=6[/tex]
Observe that when [tex]x=3[/tex], [tex]f(x) =2.41[/tex] and when [tex]x=6[/tex], [tex]f(x)=2.68[/tex]
Finally the average rate of change from 3 to 6 storms is:
[tex]m=\frac{2.68-2.41}{6-3}[/tex]
[tex]m=0.09[/tex]