Chapter 4.3, Problem 91E

Female life expectancy. The life expectancy for females born during $1980\text{-}1985$ was approximately $77.6$ years. This grew to $78$ years during $1985\text{-}1990$ and to $78.6$ years during 1990-1995. Construct a model for this data by finding a quadratic equation whose graph passes through the points $\left(0.77,6\right),\left(5,78\right)\text{ and }\left(10.78,6\right)$. Use this model to estimate the life expectancy for females born between $1995$ and $2000$ and for those born between $2000\text{ and }2005$.