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
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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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
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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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