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Brrunno [24]
3 years ago
6

100 points and i will mark brainlest

Mathematics
1 answer:
12345 [234]3 years ago
7 0

Answer:

Step-by-step explanation:

150n to the right

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Average rate of change is 0

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

<em><u>Solution:</u></em>

The function that models the yield is:

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

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

\text{ average rate of change }=\frac{f(b)-f(a)}{b-a}

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

f(5) = -(5)^2 + 20(5) + 75\\\\f(5) = -25 + 100 + 75\\\\f(5) = 150

f(15) = - (15)^2 + 20(15) + 75\\\\f(15) = -225 + 300 + 75\\\\f(15) = 150

<em><u>Thus average rate of change:</u></em>

\text {average rate of change}=\frac{f(15)-f(5)}{15-5}

\text {average rate of change}=\frac{150-150}{10}=0

Thus Average rate of change is 0

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

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