A farmer is tracking the number of soybeans his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 100 mo
dels the crops in pounds per acre over x years. Find and interpret the average rate of change from year 10 to year 20. The crop yield increased by 200 pounds per acre from year 10 to year 20.
The crop yield increased by 100 pounds per acre from year 10 to year 20.
The crop yield decreased by 10 pounds per acre from year 10 to year 20.
The crop yield decreased by 0.1 pounds per acre from year 10 to year 20.
The crop yield decreased by 10 pounds per acre from year 10 to year 20.
Step-by-step explanation:
A farmer is tracking the number of soybeans his land is yielding each year. He finds that the function models the crops in pounds per acre over x years.
The average rate of change can be calculated using formula
In your case,
then
and the average rate of change is
This means the crop yield decreased by 10 pounds per acre (negative rate of change) from year 10 to year 20.