This exercise uses the population growth model. The graph shows the deer population in a Pennsylvania county between 2010 and 2014. Assume that the population grows exponentially. n(t) A (4, 31,000) 30,000- Deer 20,000 population 10,000 1 Years since 2010 (a) What was the deer population in 2010? 20000 deer (b) Find a function that models the deer population t years after 2010. (Enter your answer in the form ne". Round your r value to four decimal places.) n(t) = (c) What is the projected deer population in 2019? (Round your answer to the nearest thousand.) deer (d) Estimate how long it takes the population to reach 100,000. (Round your answer to two decimal places.) yr

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 41E
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This exercise uses the population growth model.
The graph shows the deer population in a Pennsylvania county between 2010 and 2014. Assume that the population grows exponentially.
n(t) A
(4, 31,000)
30,000
Deer
20,000
population
10,000
Years since 2010
(a) What was the deer population in 2010?
20000
deer
(b) Find a function that models the deer population t years after 2010. (Enter your answer in the form ne". Round your r value to four decimal places.)
n(t) =
(c) What is the projected deer population in 2019? (Round your answer to the nearest thousand.)
deer
(d) Estimate how long it takes the population to reach 100,000. (Round your answer to two decimal places.)
yr
Transcribed Image Text:This exercise uses the population growth model. The graph shows the deer population in a Pennsylvania county between 2010 and 2014. Assume that the population grows exponentially. n(t) A (4, 31,000) 30,000 Deer 20,000 population 10,000 Years since 2010 (a) What was the deer population in 2010? 20000 deer (b) Find a function that models the deer population t years after 2010. (Enter your answer in the form ne". Round your r value to four decimal places.) n(t) = (c) What is the projected deer population in 2019? (Round your answer to the nearest thousand.) deer (d) Estimate how long it takes the population to reach 100,000. (Round your answer to two decimal places.) yr
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