Shown to the right is a certain population for selected years between 1950 and 2005, Use the table to answer questions a) through e). Years after 1950 0 20 Population 1,057 8,143
Shown to the right is a certain population for selected years between 1950 and 2005, Use the table to answer questions a) through e). Years after 1950 0 20 Population 1,057 8,143
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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![Shown to the right is a certain population for selected years between 1950 and 2005. Use the table to
answer questions a) through e).
a) Use regression to fit a logistic equation N(t) =
C
1+ae
-bt
to the data.
Years after 1950
0
20
30
40
50
55
N(t) =
(Type an exact answer in terms of e. Use integers or decimals for any numbers in the equation. Round to three decimal places as needed.)
b) Estimate the limiting value of the function. What number will the population approach in the long run?
The population will approach
people.
(Type an integer or decimal rounded to the nearest whole number as needed.)
c) Graph the function. Choose the correct graph below. Each viewing window is [-2,70,7] by [-2400,26000,2600].
Population
1,057
8,143
13,885
18,064
21,578
21,801
☀](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a84ddf2-1d53-4c86-a9ac-6ad65a35e4f3%2F4463db92-2928-4f59-845d-8803668d4b8b%2Ff5x9xj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Shown to the right is a certain population for selected years between 1950 and 2005. Use the table to
answer questions a) through e).
a) Use regression to fit a logistic equation N(t) =
C
1+ae
-bt
to the data.
Years after 1950
0
20
30
40
50
55
N(t) =
(Type an exact answer in terms of e. Use integers or decimals for any numbers in the equation. Round to three decimal places as needed.)
b) Estimate the limiting value of the function. What number will the population approach in the long run?
The population will approach
people.
(Type an integer or decimal rounded to the nearest whole number as needed.)
c) Graph the function. Choose the correct graph below. Each viewing window is [-2,70,7] by [-2400,26000,2600].
Population
1,057
8,143
13,885
18,064
21,578
21,801
☀
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