Question

The 1980 population of the United States was approximately 231 million, and the population has been growing continuously at a rate of 1.03% per year. Predict the population N(t) in the year 2045 if this growth trend continues. (Round your answer to one decimal place.)

Answer 1

451.2 million

Explanation:

We can write the exponential growth equation as ...

N(t) = 231·e^(0.0103(t-1980))

Then N(2045) = 231·e^(0.0103(2045-1980)) = 231·e^0.6695 ≈ 451.2

The population is predicted to be 451.2 million in 2045 if the growth continues at the same rate.