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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.

the crop yield increased by 150 pounds per acre from year 5 to year 15.

the crop yield decreased by 15 pounds per acre from year 5 to year 15.

the crop yield decreased by 5 pounds per acre from year 5 to year 15.

the crop yield did not change from year 5 to year 15.

Average rate of change is 0

Interpretation: The crop yield did not change from year 5 to year 15

Solution:

The function that models the yield is:

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

Find and interpret the average rate of change from year 5 to year 15

Thus average rate of change:

Thus Average rate of change is 0

Interpretation: The crop yield did not change from year 5 to year 15.

true

explanation:

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign