Question

If the world population is 7.0 billion in 2012, and the growth rate is constant at 1.4%, calculate the population in 2030. If the growth rate is constant for another 30 years, what will be the population in 2060

Answer 1

Answer:

The world population in 2030 will be of 9.0062 billion.

The would population in 2060 will be of 13.71 billion.

Step-by-step explanation:

The exponential model for population growth is as follows.

$P(t) = P(0)e^{rt}$

In which P(t) is the population in t years from now, P(0) is the population in the current year and r(decimal) is the growth rate.e = 2.71 is the Euler number.

If the world population is 7.0 billion in 2012.

2012 is the initial year, so P(0) = 7.

P(t) will be measured in billions of people.

The growth rate is constant at 1.4%.

This means that $r = 0.014$

Calculate the population in 2030.

2030 is 2030-2012 = 18 years after 2012, so this is P(18).

$P(t) = 7e^{rt}$

$P(18) = 7e^{0.014*18} = 9.0062$

So the world population in 2030 will be of 9.0062 billion.

What will be the population in 2060.

This is 2060-2012 = 48 years after 2012. So this is P(48).

$P(t) = 7e^{rt}$

$P(48) = 7e^{0.014*48} = 13.71$

The would population in 2060 will be of 13.71 billion.