polynomial function p(x) models the fruit bat population from the year 1990 (when x = 0) to the 1. Biologists conducted a 20-year study of fruit bat populations in a small African country. The Practice 20). year 2010 (when x Ay 200 160 welveR 120 P(X) 80 40 - 100 2 4 8. 10 12 14 16 18 20 Time Since 1990 (years) 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 th 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. * At what point during the 20-vear study was the fruit bat population the highest? What was the population at that time? 6* Determine the average rate of change of the fruit bat population from the year 1994 to the y 002. Explain the meaning of your answer in terms of the problem situation. betermine the average rate of change of the fruit bat population over the entire 20-year stu ur answer in terms of the problem situation. Fruit Bat Population (thousands)
polynomial function p(x) models the fruit bat population from the year 1990 (when x = 0) to the 1. Biologists conducted a 20-year study of fruit bat populations in a small African country. The Practice 20). year 2010 (when x Ay 200 160 welveR 120 P(X) 80 40 - 100 2 4 8. 10 12 14 16 18 20 Time Since 1990 (years) 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 th 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. * At what point during the 20-vear study was the fruit bat population the highest? What was the population at that time? 6* Determine the average rate of change of the fruit bat population from the year 1994 to the y 002. Explain the meaning of your answer in terms of the problem situation. betermine the average rate of change of the fruit bat population over the entire 20-year stu ur answer in terms of the problem situation. Fruit Bat Population (thousands)
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Transcribed Image Text: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
ASsignment
Remember
Write
The formula for average rate of change is
(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.
f(b) – fla)
b-a
for an interval
own words.
Practice
year 2010 (when x = 20).
200
160
welveR
120
p(x)
80
40
4
9.
8.
10 12 14 16 18 20
-0)16 geo1 Time Since 1990 (years)
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.
* At what point during the 20-vear study was the fruit bat population the highest? What was the
population at that time?
8. Determine the average rate of change
the fruit bat population from the year 1994 to the year
00z. Explain the meaning of your answer in terms of the problem situation.
** Determine the average rate of change of the fruit bat population over the entire 20-year study.
piain the meaning of your answer in terms of the problem situation.
LESSON 5: Level Up
Fruit Bat Population
(thousands)
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