SOLUTION: The percentage of the U.S. population that resides in metropolitan areas increased from about 78% in 1980 to about 83% in 2006. a) Calculate the percentage of the U.S. population

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: The percentage of the U.S. population that resides in metropolitan areas increased from about 78% in 1980 to about 83% in 2006. a) Calculate the percentage of the U.S. population      Log On


   

Question 387468: The percentage of the U.S. population that resides in metropolitan areas increased from about 78% in 1980 to about 83% in 2006.
a) Calculate the percentage of the U.S. population residing in metropolitan areas in 1992.
b) Predict the percentage of the U.S. population residing in metropolitan areas in 2012.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a) We have to find r, the annual percentage rate of change, from 1980 to 2006.
0.83+=+0.78%281%2Br%29%5E26;
root%2826%2C+0.83%2F0.78%29+=+1%2Br.
1 + r = 1.002393, or r = 0.002393, to 6 decimal places.
Then the working equation is P+=+0.78%281.002393%29%5Et. In 1992,
P+=+0.78%281.002393%29%5E12+=+0.8027, or 80.27%.
b) In 2012, we predict that the percentage would be P+=+0.78%281.002393%29%5E32+=+0.842, or 84.2%