SOLUTION: According to the U.S. Census Bureau the population of the United States has been growing at an average of approximately 2% per year. The census is taken every 10 years and the popu

Question 106753This question is from textbook
: According to the U.S. Census Bureau the population of the United States has been growing at an average of approximately 2% per year. The census is taken every 10 years and the population in 1980 was estimated at 226 million people
c) If the rate of population growth in the U.S. were to continue at about 2%, in about what year would the population in the United States reach and surpass one billion? This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
According to the U.S. Census Bureau the population of the United States has been growing at an average of approximately 2% per year. The census is taken every 10 years and the population in 1980 was estimated at 226 million people
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Let "x" be the number of years after 1980
P(x) = 226(1.02)^x million people
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c) If the rate of population growth in the U.S. were to continue at about 2%, in about what year would the population in the United States reach and surpass one billion?
10^9 = 226x10^6(1.02)^x
1.02^x = 10^3/226=
x(log(1.02)) = log(10^3)-(log(226)
x(log1.02) = 0.645891561...
x = 75.10..
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1 billion would be reached in 1980+75.10= 2055.10
or in the year 2056
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Cheers,
Stan H.

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