Question

The population of a city increases by 15% every year. If its population today is

200,000, write an equation that shows where its population will be in 2 years?

Answer 1

The equation is :

`A = 200000 ( 1 + 0.15)^2`

Explanation:

Let population in 2 years be A

Current population be P = 200,000

Rate of increase, r = 15% = 0.15

Time, t = 2years

Therefore,

`A= P(1 + r)^t`

`A = 200000 ( 1 + 0.15)^2`

`=264500`

Population after 2 years will be 264,500

Answer 2

Explanation:

P=200000

P x .15 =x (30000)

2x=y (60000)

P + y= (200000+60000) 260000