Answer:
Average rate of change: 0
Interpretation: No increment in yield from year 5 to year 15.
Step-by-step explanation:
The function that models the yield is:
[tex]f(x)=-x^2+20x+75[/tex]
[tex]f(15)=-(15)^2+20(15)+75=150[/tex]
[tex]f(5)=-(5)^2+20(5)+75=150[/tex]
The average rate of change of f(x) from x=a to x=b is given by the formula;
[tex]AOC=\frac{f(b)-f(a)}{b-a}[/tex]
The average rate of change from year 5 to year 15 is:
[tex]\frac{f(15)-f(5)}{15-5}[/tex]
[tex]\frac{150-150}{15-5}[/tex]
[tex]\frac{0}{10}=0[/tex]
Interpretation: There has not been any increment in yield from year 5 to year 15.
