Question

(Growth) The U.S. Census estimated that the world population was 6 bil- lion in 1999, and it was increasing 212,000 per day. What is the annual growth rate? At this rate, what is the predicted population of the world in 2050?

Answer 1

Answer:

Annual growth rate = 1.29% per year

Population in 2050 = 11.53 billion

Explanation:

Data provided in the question:

Population in 1999 = 6 billion = 6,000,000,000

Rate of increase in population = 212,000 per day

Now,

Number of days in a year = 365

Therefore,

Annual growth rate

= [ Growth rate per day × Number of days in a year ] ÷ initial population

= [ 212,000 × 365 ] ÷ 6,000,000,000

= 0.0129 per year

or

= 0.0129 × 100%

= 1.29% per year

Now,

2050 is 51 year from 1999

Population in 2050 = Population in 1999 × ( 1 + rate )ⁿ

= 6,000,000,000 × ( 1 + 0.0129 )⁵¹

= 11.53 billion