The bat population in a certain Midwestern county was 260,000 in 2012, and the observed doubling time for the population is 34 years. (a) Find an exponential model n(t) = no2t/a for the population t years after 2012. n(t) = 22.74 (b) Find an exponential model n(t) = noert for the population t years after 2012. (Round your r value to four decimal places.) n(t) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(c) Sketch a graph of the population at time t.
n(t)
n(t)
1400000
1400000
1200000
1200000
1000000
1000000
800000
800000
600000
600000
400000
400000
200000
200000
10
20
30
40
50
60
10
20
30
40
50
60
n(t)
n(t)
1400000
1400000
1200000
1200000
1000000
1000000
800000
800000
600000
600000
400000
400000
200000
200000
10
20
30
40
50
60
10
20
30
40
50
60
(d) Estimate how long it takes the population to reach 2 million. (Round your answer to two decimal places.)
yr
Transcribed Image Text:(c) Sketch a graph of the population at time t. n(t) n(t) 1400000 1400000 1200000 1200000 1000000 1000000 800000 800000 600000 600000 400000 400000 200000 200000 10 20 30 40 50 60 10 20 30 40 50 60 n(t) n(t) 1400000 1400000 1200000 1200000 1000000 1000000 800000 800000 600000 600000 400000 400000 200000 200000 10 20 30 40 50 60 10 20 30 40 50 60 (d) Estimate how long it takes the population to reach 2 million. (Round your answer to two decimal places.) yr
This exercise uses the population growth model.
The bat population in a certain Midwestern county was 260,000 in 2012, and the observed doubling time for the population is 34 years.
(a) Find an exponential model n(t) = no2t/a for the population t years after 2012.
n(t) :
n,
По222.74
(b) Find an exponential model n(t) = noert for the population t years after 2012. (Round your r value to four decimal places.)
n(t) =
Transcribed Image Text:This exercise uses the population growth model. The bat population in a certain Midwestern county was 260,000 in 2012, and the observed doubling time for the population is 34 years. (a) Find an exponential model n(t) = no2t/a for the population t years after 2012. n(t) : n, По222.74 (b) Find an exponential model n(t) = noert for the population t years after 2012. (Round your r value to four decimal places.) n(t) =
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