Question

One model of Earth's population growth is

P(t)=641+11e−.08t
, where t is measured in years since 1990, and P is measured in billions of people. Which of the following statements are true? Check all that apply.

A. The population of Earth is increasing by a steady rate of 8% per year.

B. The carrying capacity of Earth is 64 billion people.

C. The population of Earth will grow exponentially without bound.

D. In 1990, there were 5.33 billion people.

Answer 1

 we are given the function adn we can see that when t is increased, P(t) is decreasing because of the negative sign. This means the value of the population which is the original of 64 billion will have to decrease.The answer that makes sense here is D. D. In 1990, there were 5.33 billion people.