The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P(t), the population, in millions, t years after 1995, is decreasing according to the exponential decay model. a) Find the value of k, and write the equation. b) Estimate the population of the country in 2020. c) After how many years will the population of the country be 3 million, according to this model? a) Select the correct answer below and fill in the answer box to complete your choice (Round to four decimal places as needed.) 52.3 OA. P(t) = O B. P(t) = 44.1 e 44.1 e OC. P(t) = 52.3 e P(t) = 44.1 OD.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter6: Exponential Functions And Sequences
Section: Chapter Questions
Problem 8CA
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The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P(t), the population, in millions, t years after 1995, is decreasing
according to the exponential decay model.
a) Find the value of k, and write the equation.
b) Estimate the population of the country in 2020.
c) After how many years will the population of the country be 3 million, according to this model?
a) Select the correct answer below and fill in the answer box to complete your choice.
(Round to four decimal places as needed.)
52.3
OA.
P(t) =
O B. P(t) = 44.1 e
44.1 e
44.1
O C. P(t) = 52.3 e Dt
P(t) =
OD.
Transcribed Image Text:The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P(t), the population, in millions, t years after 1995, is decreasing according to the exponential decay model. a) Find the value of k, and write the equation. b) Estimate the population of the country in 2020. c) After how many years will the population of the country be 3 million, according to this model? a) Select the correct answer below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) 52.3 OA. P(t) = O B. P(t) = 44.1 e 44.1 e 44.1 O C. P(t) = 52.3 e Dt P(t) = OD.
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