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

Answer:

2002

Step-by-step 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 :

$189.698=2.878x+126.127$

$189.698 - 126.127=2.878x$

$63.571=2.878x$

$\frac{63.571}{2.878}=x$

$22.08=x$

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.