Question

The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. (a) Estimate how long it takes the population to double. (Round your answer to two decimal places.)

Answer 1

90.91 years

Explanation:

If the rate of population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year, increase in yearly population = 1.1/100 × 7,100,000,000

= 1.1 × 71,000,000

= 78,100,000

The amount increases by 78.1million every year.

To know how long it will take the population to double.

double of the initial population = 2×7,100,000,000 = 14,200,000,000

Increment per year = 78,100,000

Time it will take for the population to double = 7,100,000,000/78,100,000

= 90.91

≈ 91

This means it will take about 90.91years for the population to double