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.
Accepted Solution
A:
Answer:2002Step-by-step explanation:Given :[tex]P=2.878x+126.127[/tex]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.[tex]P=2.878x+126.127[/tex]where P is the population in millions. x is the number of years since 1980Now 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
=
189.698Substitute P in equation :[tex]189.698=2.878x+126.127[/tex][tex]189.698 - 126.127=2.878x[/tex][tex]63.571=2.878x[/tex][tex]\frac{63.571}{2.878}=x[/tex][tex]22.08=x[/tex]So, x≈ 22Since x is the number of years since 1980So, the year in which the country had or will have a population of 189,698,000. = 1980+22 = 2002Hence the country had or will have a population of 189,698,000 in 2002.