The population of a certain city was 154,000 in 2014, and the observed doubling time for the population is 19 years. (a) Find an exponential model n(t) = no2/a for the population t years after 2014. n(t) = (b) Find an exponential model n(t) = noert for the population t years after 2014. (Round your r value to four decimal places.) n(t) = (c) Sketch a graph of the population at time t. n(t) n(t) 700 000 700 000 600 000 600 000 500 000 500 000 400 000 400 000 300 000 300 000 200 000 200 000 100 000 100 000 t 40 10 20 30 40 10 n(t) n(t) 700 000아 700 000 600 000 600 000 500 000 500 000 400 000 400 000 300 000 300 000 200 000 200 000 100 000 100000 t 40 10 20 30 40 10 20 30 20

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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The population of a certain city was 154,000 in 2014, and the observed doubling time for the population is 19 years.
(a) Find an exponential model n(t) = no2/a for the population t years after 2014.
n(t) =
(b) Find an exponential model n(t) = noert for the population t years after 2014. (Round your r value to four decimal places.)
n(t) =
(c) Sketch a graph of the population at time t.
n(t)
n(t)
700 000
700 000
600 000
600 000
500 000
500 000
400 000
400 000
300 000
300 000
200 000
200 000
100 000
100 000
t
40
10
20
30
40
10
n(t)
n(t)
700 000아
700 000
600 000
600 000
500 000
500 000
400 000
400 000
300 000
300 000
200 000
200 000
100 000
100000
t
40
10
20
30
40
10
20
30
20
Transcribed Image Text:The population of a certain city was 154,000 in 2014, and the observed doubling time for the population is 19 years. (a) Find an exponential model n(t) = no2/a for the population t years after 2014. n(t) = (b) Find an exponential model n(t) = noert for the population t years after 2014. (Round your r value to four decimal places.) n(t) = (c) Sketch a graph of the population at time t. n(t) n(t) 700 000 700 000 600 000 600 000 500 000 500 000 400 000 400 000 300 000 300 000 200 000 200 000 100 000 100 000 t 40 10 20 30 40 10 n(t) n(t) 700 000아 700 000 600 000 600 000 500 000 500 000 400 000 400 000 300 000 300 000 200 000 200 000 100 000 100000 t 40 10 20 30 40 10 20 30 20
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