The population of a country dropped from 51.5 million in 1995 to 45.9 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.) 51.5 OA. P(t) = O B. P(t) = 51.5 e 45.9 e OC. P(1) = 45.9 e 45.9 P(1) = OD. b) The population of the country in 2020 will be about million. (Round to one decimal place as needed.) c) According to this model, years after 1995 the population will be 3 million. (Round to the nearest whole number as needed.)
The population of a country dropped from 51.5 million in 1995 to 45.9 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.) 51.5 OA. P(t) = O B. P(t) = 51.5 e 45.9 e OC. P(1) = 45.9 e 45.9 P(1) = OD. b) The population of the country in 2020 will be about million. (Round to one decimal place as needed.) c) According to this model, years after 1995 the population will be 3 million. (Round to the nearest whole number as needed.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.4: Geometric Sequences And Series
Problem 6SC
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Transcribed Image Text:The population of a country dropped from 51.5 million in 1995 to 45.9 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.)
51.5
O A. P(1) =
O B. P(t) = 51.5 e
45.9 e
OC. P(1) = 45.9 e
45.9
OD.
P(t) =
b) The population of the country in 2020 will be about
million.
(Round to one decimal place as needed.)
c) According to this model, years after 1995 the population will be 3 million.
(Round to the nearest whole number as needed.)
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