Problems 1. From early 1980's through 2000, states kept records of the number of bald eagle breeding pairs. Here is a bar graph showing the approximate number of pairs of breeding eagles from 1986 to 2000. Eagle Breeding Pairs 7000 6423- 5763 6000 5103 5000 4443 3783 4000 3123 3000 2463 1803 2000 1000 1986 1988 1990 1992 1994 1996 1998 2000 (a) Use the data in the bar graph to complete the table. In the table, let t represent the number of years after 1986, and let P(t) be the number of breeding pairs of eagles. t 4. 10 14 P(t) 1803 3123 5103 6423 (b) Decide whether the number of breeding pairs seems to be growing linearly. Write your conclusion in a complete sentence. (c) Find the growth rate. Express your answer using correct units. (d) Find a formula for the function P(t) expressing the number of breeding pairs of eagles in terms of t, the number of years after 1986. (e) In 2006, the year before bald eagles were removed from the Endangered Species List, the number of breeding pairs was 9,789. Does your linear model over- or under-estimate the actual number of breeding pairs? Explain your reasoning in a complete sentence.

MATLAB: An Introduction with Applications
6th Edition
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1. From early 1980's through 2000, states kept records of the number of bald eagle breeding pairs. Here
is a bar graph showing the approximate number of pairs of breeding eagles from 1986 to 2000.
Eagle Breeding Pairs
7000
6423
5763
6000
5103
5000
4443
3783
4000
3123
ll
3000
2463
1803
2000
1000
1986 1988
1990 1992 1994 1996 1998 2000
2
(a) Use the data in the bar graph to complete the table. In the table, let t represent the number of
years after 1986, and let P(t) be the number of breeding pairs of eagles.
t
4
10
14
P(t) 1803
3123
5103
6423
(b) Decide whether the number of breeding pairs seems to be growing linearly. Write your conclusion
in a complete sentence.
(c) Find the growth rate. Express your answer using correct units.
(d) Find a formula for the function P(t) expressing the number of breeding pairs of eagles in terms
of t, the number of years after 1986.
(e) In 2006, the year before bald eagles were removed from the Endangered Species List, the number
of breeding pairs was 9,789. Does your linear model over- or under-estimate the actual number
of breeding pairs? Explain your reasoning
a complete sentence.
Transcribed Image Text:Problems 1. From early 1980's through 2000, states kept records of the number of bald eagle breeding pairs. Here is a bar graph showing the approximate number of pairs of breeding eagles from 1986 to 2000. Eagle Breeding Pairs 7000 6423 5763 6000 5103 5000 4443 3783 4000 3123 ll 3000 2463 1803 2000 1000 1986 1988 1990 1992 1994 1996 1998 2000 2 (a) Use the data in the bar graph to complete the table. In the table, let t represent the number of years after 1986, and let P(t) be the number of breeding pairs of eagles. t 4 10 14 P(t) 1803 3123 5103 6423 (b) Decide whether the number of breeding pairs seems to be growing linearly. Write your conclusion in a complete sentence. (c) Find the growth rate. Express your answer using correct units. (d) Find a formula for the function P(t) expressing the number of breeding pairs of eagles in terms of t, the number of years after 1986. (e) In 2006, the year before bald eagles were removed from the Endangered Species List, the number of breeding pairs was 9,789. Does your linear model over- or under-estimate the actual number of breeding pairs? Explain your reasoning a complete sentence.
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