Question

Find the population in 2017 round to the nearest tenth

Answer 1

Given:

In 2000, the population was 6.08 billion

rate of increase = 1.5% per year

Required: The population in 2017

The formula for calculating population growth is:

`y(t)\text{ = a\lparen1 + r\rparen}^t`

Where y(t) is the population at a later time t

a is the initial population

r is the annual rate of increase

and t is the number of years

For the given problem,

a = 6.08 billion

r = 1.5%

t = 17 years (2017-2000)

Substituting the given values into the formula:

`\begin{gathered} y(t=17)\text{ =6,080,000,000\lparen1 + }(1.5)/(100))^(17) \\ =\text{ 7,831,163,611.683507} \\ \approx\text{ 7,831, 163, 611.7} \end{gathered}`

Hence, the population in 2017 should be 7831163611.7