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The population of a country dropped from 52.1 million in 1995 to 45.9 million in 2008. 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 2016. c) After how many years will the population of the country be 1 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.) 45.9 P(t) = O B. P(t) = 52.1 e O A. 52.1 O D. P(t) = 45.9 e O c. P(t) = 45.9 e

The population of a country dropped from 52.1 million in 1995 to 45.9 million in 2008. 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 2016. c) After how many years will the population of the country be 1 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.) 45.9 P(t) = O B. P(t) = 52.1 e O A. 52.1 O D. P(t) = 45.9 e O c. P(t) = 45.9 e

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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The population of a country dropped from 52.1 million in 1995 to 45.9 million in 2008. 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 2016. c) After how many years will the population of the country be 1 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.) 45.9 O B. P(t) = 52.1 e O A. P(t) = 52.1 O D. P(t) = 45.9 e O c. P(t) = 45.9 e
Transcribed Image Text:The population of a country dropped from 52.1 million in 1995 to 45.9 million in 2008. 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 2016. c) After how many years will the population of the country be 1 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.) 45.9 O B. P(t) = 52.1 e O A. P(t) = 52.1 O D. P(t) = 45.9 e O c. P(t) = 45.9 e
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