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.

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...
icon
Related questions
Question
10
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning