Question

The population of a certain country is approximated by the following​ equation, where x is the number of years since 1980 and P is the population in millions. Pequals2.878xplus126.127 Determine the year in which the country had or will have a population of 189 comma 698 comma 000.

Answer 1

2002

Explanation:

Given :
`P=2.878x+126.127`

To Find : Determine the year in which the country had or will have a population of 189,698,000.

Solution:

We are given an equation which represents The population of a certain country.

`P=2.878x+126.127`

where P is the population in millions.

x is the number of years since 1980

Now we are supposed to find the year in which the country had or will have a population of 189,698,000.

P represents population in millions. Then, P = 189.698

Substitute P in equation :

`189.698=2.878x+126.127`

`189.698 - 126.127=2.878x`

`63.571=2.878x`

`(63.571)/(2.878)=x`

`22.08=x`

So, x≈ 22

Since x is the number of years since 1980

So, the year in which the country had or will have a population of 189,698,000. = 1980+22 = 2002

Hence the country had or will have a population of 189,698,000 in 2002.