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1. Biologists conducted a 20-year study of fruit bat populations in a small African country. The polynomial function p(x) models the fruit bat population from the year 1990 (when x = 0) to the year 2010 (when x = 20). Fruit Bat Population (thousands) 200 160 120 AY 80 40- p(x) 1100ubo 2 4 6 8 10 12 14 16 18 20 Time Since 1990 (years) X welven a. Determine the intervals over which the fruit bat population increased. b. Determine the intervals over which the fruit bat population decreased. c. During the 20-year study, a law was passed that banned the use of a pesticide known to be harmful to the fruit bat. Predict the year in which the law was passed. Explain your reasoning. ging company signed a 6-year government contract to harvest the which the

1. Biologists conducted a 20-year study of fruit bat populations in a small African country. The polynomial function p(x) models the fruit bat population from the year 1990 (when x = 0) to the year 2010 (when x = 20). Fruit Bat Population (thousands) 200 160 120 AY 80 40- p(x) 1100ubo 2 4 6 8 10 12 14 16 18 20 Time Since 1990 (years) X welven a. Determine the intervals over which the fruit bat population increased. b. Determine the intervals over which the fruit bat population decreased. c. During the 20-year study, a law was passed that banned the use of a pesticide known to be harmful to the fruit bat. Predict the year in which the law was passed. Explain your reasoning. ging company signed a 6-year government contract to harvest the which the

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 49E
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To U U Assignment Write Write a definition for the term average rate of change in your own words. Practice 1. Biologists conducted a 20-year study of fruit bat populations in a small African country. The polynomial function p(x) models the fruit bat population from the year 1990 (when x = 0) to the year 2010 (when x = 20). Fruit Bat Population (thousands) 200 160 120 AY 80 Remember The formula for average rate of change is f(b)-f(a) b-a for an interval (a, b). The expression b - a represents the change in the input of the function f. The expression f(b) f(a) represents the change in the function f as the input changes form a to b. 40 anddonul 1 st 100ubo 2 4 6 (-0) 18 1990 p(x) 16 18 20 8 10 12 14 Time Since 1990 (years) welven aino2691 30oy a. Determine the intervals over which the fruit bat population increased. b. Determine the intervals over which the fruit bat population decreased. c. During the 20-year study, a law was passed that banned the use of a pesticide known to be harmful to the fruit bat. Predict the year in which the law was passed. Explain your reasoning. d. During the 20-year study, a logging company signed a 6-year government contract to harvest the timber from a large forest known to be the habitat of the fruit bat. Predict the year in which the company started harvesting the timber. Explain your reasoning. e. Estimate when the fruit bat population was 100,000. Explain your reasoning. f. At what point during the 20-year study was the fruit bat population the highest? What was the population at that time? 8. Determine the average rate of change of the fruit bat population from the year 1994 to the year 2002. Explain the meaning of your answer in terms of the problem situation. h. Determine the average rate of change of the fruit bat population over the entire 20-year study. Explain the meaning of your answer in terms of the problem situation. LESSON 5: Level Up
Transcribed Image Text:To U U Assignment Write Write a definition for the term average rate of change in your own words. Practice 1. Biologists conducted a 20-year study of fruit bat populations in a small African country. The polynomial function p(x) models the fruit bat population from the year 1990 (when x = 0) to the year 2010 (when x = 20). Fruit Bat Population (thousands) 200 160 120 AY 80 Remember The formula for average rate of change is f(b)-f(a) b-a for an interval (a, b). The expression b - a represents the change in the input of the function f. The expression f(b) f(a) represents the change in the function f as the input changes form a to b. 40 anddonul 1 st 100ubo 2 4 6 (-0) 18 1990 p(x) 16 18 20 8 10 12 14 Time Since 1990 (years) welven aino2691 30oy a. Determine the intervals over which the fruit bat population increased. b. Determine the intervals over which the fruit bat population decreased. c. During the 20-year study, a law was passed that banned the use of a pesticide known to be harmful to the fruit bat. Predict the year in which the law was passed. Explain your reasoning. d. During the 20-year study, a logging company signed a 6-year government contract to harvest the timber from a large forest known to be the habitat of the fruit bat. Predict the year in which the company started harvesting the timber. Explain your reasoning. e. Estimate when the fruit bat population was 100,000. Explain your reasoning. f. At what point during the 20-year study was the fruit bat population the highest? What was the population at that time? 8. Determine the average rate of change of the fruit bat population from the year 1994 to the year 2002. Explain the meaning of your answer in terms of the problem situation. h. Determine the average rate of change of the fruit bat population over the entire 20-year study. Explain the meaning of your answer in terms of the problem situation. LESSON 5: Level Up
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