Question

The population of a coty is 100,000 and the annual growth rate is 4.2%. Write an equation to model the population y after x years

Answer 1

Answer:
`1,00,000(1+0.042)^x`

Explanation:

Given

The initial population of a city is
`P_o=1,00,000`

The annual growth rate is
`4.2\%`

after 1 year it is

`\Rightarrow P_1=1,00,000+4.2\%* 1,00,000\\\Rightarrow P_1=1,00,000(1+0.042)`

after 2 years, it is

`\Rightarrow 1,00,000(1+0.042)+4.2\%* 1,00,000(1+0.042)\\\Rightarrow 1,00,000(1+0.042)^2`

after x years it is

`\Rightarrow P_x=1,00,000(1+0.042)^x`