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 P=2.748x + 126.199 Determine the year in which the country had or will have the population of 206,123,000 Show your work

Respuesta :

Answer:

In 2010 the population become 206,123,000.

Step-by-step explanation:

Consider the provided equation.

[tex]P=2.748x + 126.199[/tex]

Where P represents the population in millions.

We need to determine the year in which the country had population of 206,123,000.

As P is in millions so divide 206,123,000 by one million.

[tex]\frac{206,123,000 }{1,000,000}= 206.123[/tex]

Substitute P = 206.123 in above equation.

[tex]206.123=2.748x + 126.199[/tex]

[tex]79.924=2.748x[/tex]

[tex]x=\frac{79.924}{2.748}[/tex]

[tex]x=29.08[/tex]

30 year from 1980 the population become 206,123,000.

In 2010 the population become 206,123,000.

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