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

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...
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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
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