In 2016,the population of the United States was approximately 325 million people,with an annual growth rate of approximately 0.7%.If the population of the U.S.were to continue to grow at this rate,what would be the approximate population size of the U.S.in the year 2216?

Question

Quizplus · Accepted Answer

To solve this problem, we can use the formula for exponential growth:

A = P(1 + r)^t

Where:
A = the population size after t years
P = the initial population size
r = the annual growth rate (as a decimal)
t = the number of years

We are given that:
P = 325 million
r = 0.7% = 0.007
t = 2216 - 2016 = 200

Substituting these values into the formula, we get:

A = 325 million (1 + 0.007)^200
A ≈ 1.3 billion

Therefore, the approximate population size of the U.S. in the year 2216 would be approximately 1.3 billion people.

The closest answer choice is (D) 1.3 billion.

In 2016,the Population of the United States Was Approximately 325