# The life expectancy of a female whose current age is x years old is f(x)=0.0069502x2−1.6357x+93.76 60≤x≤75) years.Whose current age is 75?

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 $f\left(x\right)=0.0069502x2-1.6357x+93.76\left(60\le x\le 75\right)$ years. What is the life expectancy of a female whose current age is 65? Whose current age is 75?

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

$=29.364595-106.3205+93.76$

$\approx 16.8$ years
The life expectancy of a female whose current age is 75 is

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

$=39.094875-122.6775+93.76$

$\approx 10.2$ years