The United States population in 1800 was 5,308,000 and in 1900 was 76,212,000. Assume t = 0 in 1800 and the population grew at a rate proportional to its size. a) Find P(t), the number of people in the United States at time t according to this data. (Use an exact value for the rate, k.) P(t) = ㅠ ∞a¹ ≤ √a sin b) Using this model, predict the U.S. population in the year 2000. Round to the nearest person. Preview people

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
icon
Related questions
Question
The United States population in 1800 was 5,308,000 and in 1900 was 76,212,000.
Assume t = 0 in 1800 and the population grew at a rate proportional to its size.
a) Find P(t), the number of people in the United States at time t according to this
data. (Use an exact value for the rate, k.)
P(t) =
ㅠ a ∞
9
!
SV
That's not it.
va sin
b) Using this model, predict the U.S. population in the year 2000. Round to the nearest
person.
Preview
people
Transcribed Image Text:The United States population in 1800 was 5,308,000 and in 1900 was 76,212,000. Assume t = 0 in 1800 and the population grew at a rate proportional to its size. a) Find P(t), the number of people in the United States at time t according to this data. (Use an exact value for the rate, k.) P(t) = ㅠ a ∞ 9 ! SV That's not it. va sin b) Using this model, predict the U.S. population in the year 2000. Round to the nearest person. Preview people
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning