Afarmer is tracking the number of soybeans his land is yielding each year. he finds that the function f(x) = −x2 + 20x + 100 models 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 average rate of change = -10

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.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

none cuz there are no "following statements" regarding the question

step-by-step explanation: