Question

Advances in medical science and healthier lifestyles have resulted in longer life expectancies. The life expectancy of a female whose current age is x

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asked 2021-05-25

Advances in medical science and healthier lifestyles have resulted in longer life expectancies. The life expectancy of a female whose current age is x years old is \(f(x)=0.0069502x^{2}−1.6357x+93.76 60\leq x\leq75\) years. What is the life expectancy of a female whose current age is 65? Whose current age is 75?

Answers (2)

2021-05-26

Using the given function for life expectancy of female whose current age is x years old, the life expectancy of a female whose curreny age is 65 is \(f(65)=0.0069502(65)^2-1.6357(65)+93.76 =29.364595-106.3205+93.76\)

\(\sim16.8 years\)
The life expectancy of a female whose current age is 75 is \(f(75)=0.0069502(75)^2-1.6357(75)+93.76 =39.094875-122.6775+93.76\) 

\(\sim10.2 years\)

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Best answer
2021-08-04

Life expectancy for \(x=65\) is:

\(f(65)=0.0069502(65)^{2}-1.6357(65)+93.76\)

\(=0.0069502(4225)-1.6357(65)+93.76\)

\(=29.364595-106.3205=93.76\)

\(=16.8\) years

Life expectancy for \(x=75\) is:

\(f(75)=0.0069502(75)^{2}-1.6357(75)+93.76\)

\(=0.0069502(5625)-1.6357(75)+93.76\)

\(=39.094875-122.6775+93.76\)

\(=10.18\) years

16.8 years for male who is 65 years old and 10.18 years for a male aged 75 years

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