Question 285659
In 1900, life expectancy at birth was 46 yr, and life
expectancy at age 65 was 76. In 2000, these figures had
risen to 76.9 and 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.
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Life Expectancy linear function:
Two points: (0,46), (100,76.9)
slope = (76.9-46)/(100-0) = 30.9/100 = 0.309
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Equation:
life ex = 0.309x + 46 where x is # of years after 1900
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Life Expectancy at 65 linear function:
Two points: (0,76) and (100,82.9)
slope = (82.9-76)/100 = 6.9/100 = 0.069
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Equation: 
Expect after 65 = 0.069x+46
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{{{graph(400,300,-10,120,-10,120,0.309x+46,0.069x+46)}}}
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Cheers,
Stan H