Answer :
Average rate of change = (f(b) - f(a))/(b - a) = (f(3) - f(-2))/(3 - (-2)) = (5 - 2.5)/(3 + 2) = 2.5/5 = 0.5
Answer:
D. 0.5
Step-by-step explanation:
We will use average rate of change to solve our given problem.
[tex]\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}[/tex]
The average rate of change between -2 and 3 would be:
[tex]\text{Average rate of change}=\frac{f(3)-f(-2)}{3--2}[/tex]
Upon looking at our given table we can see that [tex]f(3)=5[/tex] and [tex]f(-2)=2.5[/tex].
[tex]\text{Average rate of change}=\frac{5-2.5}{3+2}[/tex]
[tex]\text{Average rate of change}=\frac{2.5}{5}[/tex]
[tex]\text{Average rate of change}=0.5[/tex]
Therefore, the average rate of change over closed interval [tex][-2,3][/tex] is 0.5 and option D is the correct choice.