Question

A farmer is tracking the amount of wheat his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 75 models the crops in pounds per acre over x years. Find and interpret the average rate of change from year 5 to year 15.

Answer 1

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:

$f(x)=-x^2+20x+75$

$f(15)=-(15)^2+20(15)+75=150$

$f(5)=-(5)^2+20(5)+75=150$

The average rate of change  of f(x) from x=a to x=b is given by the formula;

$AOC=\frac{f(b)-f(a)}{b-a}$

The average rate of change from year 5 to year 15 is:

$\frac{f(15)-f(5)}{15-5}$

$\frac{150-150}{15-5}$

$\frac{0}{10}=0$

Interpretation: There has not been any increment in yield from year 5 to year 15.

Answer 2

Answer:

the answer is The crop yield did not change from year 5 to year 15

Step-by-step explanation: