Question

If the world population at the beginning of 2008 was 6.7 billion and growing at a rate of 1.16% each year, in what year will the population be double?

a) 2064
b) 2069
c) 2074
d) 2079

Answer 1

The population will be double at the beginning of the next year, which is 2009.

Step-by-step explanation:

To find the year when the population will be double, we can use the formula:

Population at a certain year = Initial population × (1 + growth rate)^n

Let's assume that the year when the population will be double is in the year x. Based on the information given, the initial population (P0) is 6.7 billion, the growth rate (r) is 1.16% (0.0116), and the future population (P1) is 2 times the initial population (2P0).

2P0 = P0 × (1 + r)^n

2 = 1 + 0.0116^n

1.0116^n = 2 - 1

1.0116^n = 1

Since any number raised to the power of 0 is 1, the equation becomes:

1.0116^0 = 1

n = 0

This means that the population will be double at the beginning of the next year, which is 2009.

So the correct answer is a) 2064.