Solution Found!
Population Growth The population of the world in the year
Chapter 2, Problem 25A(choose chapter or problem)
Problem 25A
Population Growth The population of the world in the year 1650 was about 500 million, and in the year 2010 was 6756 million. Source: U.S. Census Bureau.
a. Assuming that the population of the world grows exponentially, find the equation for the population P(t) in millions in the year t.
b. Use your answer from part a to find the population of the world in the year 1.
c. Is your answer to part b reasonable? What does this tell you about how the population of the world grows?
Questions & Answers
QUESTION:
Problem 25A
Population Growth The population of the world in the year 1650 was about 500 million, and in the year 2010 was 6756 million. Source: U.S. Census Bureau.
a. Assuming that the population of the world grows exponentially, find the equation for the population P(t) in millions in the year t.
b. Use your answer from part a to find the population of the world in the year 1.
c. Is your answer to part b reasonable? What does this tell you about how the population of the world grows?
ANSWER:
Solution:
Step 1 of 3
In this problem, we have given that the population of the world in the year was million and in the year was million.
(a). Assuming that the population grows exponentially then the equation for the population in million in the year is given by
Where and are constant
According to question
…………….(i)
And
…………….(ii)
On dividing equation (ii) by (i), we get
.
Substitute in equation (i)
.
Hence the required equation is .