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Some scientist believe there is a limit to how long humans live. One supporting argument is that during the last century life expectancy from age 65 has increased more slowly than life expectancy from birth. so eventually these two will equal. at which point according to scientists life expectancy should increase no further. In 1900 life expectancy at borth was 46 years of age. and life ecpectancy at age 65 was 76. In 2000 these figures had risen to 76.9and 82.9. respectively in both cases the increase in life expectancy has been linear. Using these assumptions and the data given find the maximum life expectancy for humans."

2007-11-17 02:41:43 · 5 answers · asked by Anonymous in Science & Mathematics Other - Science

5 answers

By linear extrapolation, in year 2000 + Y (where Y is in centuries) the figures will be:

life expectancy at birth = 76.9 + 30.9Y
life expectancy at 65 = 82.9 + 6.9Y

For these to be equal, it needs 24Y = 6, or Y = 25 years. In 2025, the two linearly extrapolated life expectancies are equal at 84.625 years.

The assumption of linear increase is obviously incorrect, because after 2025 its results become self-contradictory, but since that was not part of the question, the answer is 84.625 years.

2007-11-17 05:24:50 · answer #1 · answered by Anonymous · 0 0

That seems very interesting but are you using figures that support the life expectancy for the entire world or just for the United States? What is really interesting is that life expectancy is higher in Japan and other nations than the US though we are viewed as some kind of "super-nation." You also have to consider that life expectancy isn't increasing drastically because there are more undeveloped countries that are working their way to becoming developed and because now they have their health in mind their country's life expectancy will increase although one has to consider natural disasters and unnatural deaths such as suicide, murder, and so forth.

2007-11-17 02:49:42 · answer #2 · answered by Anonymous · 0 0

You cannot answer this question unless you also assume that life expectancy will continue to increase at the same rate as previously. There is no reason to make such an assumption.

2007-11-17 05:51:10 · answer #3 · answered by Anonymous · 0 0

The maximum life expectancy will be 84.625 years and will be reached in 25 Years.

At birth:
46 yrs to 76.9 year life expectancy increase in 100 yrs =
30.9 year increase in 100 years = .309 year increase per year.

At 65 years old:
76 yrs to 82.9 year life expectancy increase in 100 yrs =
6.9 year increase in 100 years = 0,069 year increase per year.

76.9 + .309X = 82.9 +0.069Y, but X = Y, therefore
0.24X = 6
X= 25 years to reach the maximum age

the maximum age will be
76.9 + .309*25 = 82.9+ 25*0.069
76.9 + 7.725 = 82.9 + 1.725
84.625 = 84.625 years

2007-11-17 16:14:39 · answer #4 · answered by gatorbait 7 · 0 0

this isnt a question

2007-11-17 02:50:55 · answer #5 · answered by Anonymous · 0 1

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