Predicted U.S. Population in 2030

What is the predicted population of the United States in 2030 based on the given data?

Given that the population of the United States in 2016 was 324 million people with a growth rate of 0.8% per year, what would be the estimated population in 2030?

Answer:

The predicted U.S. population in 2030 is 362 million (rounded to the nearest million).

Based on the population growth formula [tex]P=P_o(1+r)^t[/tex], where P₀ is the initial population, r is the growth rate in decimal, and t is the time in years, we can calculate the estimated population for the United States in 2030.

Given:

• Initial Population (P₀) = 324 million
• Growth Rate (r) = 0.8% = 0.008
• Time (t) = 2030 - 2016 = 14 years

Substitute these values into the formula:

[tex]P=324(1+0.008)^{14}[/tex]

[tex]P=324(1.008)^{14}[/tex]

[tex]P≈362 \\text{ million}[/tex]

Therefore, based on the given data, the predicted population of the United States in 2030 is 362 million, rounded to the nearest million.