One model of Earth's population is given by 280 P(E) 4 + 66e-0.021r In this equation, P(t) is the population in billions and t is the number of years after 1980. Round answers to the nearest hundred million people. (a) According to this model, what was Earth's population in the year 1998? | billion people (b) According to this model, what will be Earth's population in the year 2012? ) billion people (c) If t is very large, say greater than 500, then e-0.021t = 0. What does this suggest about the maximum population that Earth can support? O The maximum population the Earth can support is 70 billion people. O The population will grow without bound. O The maximum population the Earth can support is 280 billion people. The maximum population the Earth can support is 35 billion people. O The population will eventually drop to 0.

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
One model of Earth's population is given by
280
P(t) -
4 + 66e-0.021
In this equation, P(t) is the population in billions and t is the number of years after 1980. Round answers to the nearest hundred million
реople.
(a) According to this model, what was Earth's population in the year 1998?
billion people
(b) According to this model, what will be Earth's population in the year 2012?
| billion people
(c) If t is very large, say greater than 500, then e-0.021t = 0. What does this suggest about the maximum population that
Earth can support?
O The maximum population the Earth can support is 70 billion people.
O The population will grow without bound.
The maximum population the Earth can support is 280 bllion people.
O The maximum population the Earth can support is 35 billion people.
O The population will eventually drop to 0.
Transcribed Image Text:One model of Earth's population is given by 280 P(t) - 4 + 66e-0.021 In this equation, P(t) is the population in billions and t is the number of years after 1980. Round answers to the nearest hundred million реople. (a) According to this model, what was Earth's population in the year 1998? billion people (b) According to this model, what will be Earth's population in the year 2012? | billion people (c) If t is very large, say greater than 500, then e-0.021t = 0. What does this suggest about the maximum population that Earth can support? O The maximum population the Earth can support is 70 billion people. O The population will grow without bound. The maximum population the Earth can support is 280 bllion people. O The maximum population the Earth can support is 35 billion people. O The population will eventually drop to 0.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
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