SOLUTION: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 2.1. In 1983, abou

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 2.1. In 1983, abou      Log On


   

Question 1203014: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 2.1. In 1983, about 1600 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2005?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
1600 people died of aids in 1983.
growth factor per year = 2.1.
how many would have died in 2005 if the growth rate was unchecked?
2005 - 1983 = 22 years.
1600 * 2.1 ^ 22 = 1.963109238 * 10^10.
that's the same as 19.63109238 * 10^9.
since 10^9 equals 1 billion, that says that approximately 19.63 billion people would have died of aids in 2005.