0n a remote tropical island, the average life expectancy of women is given by the model

√6000+67x-2.2x^2+.04x^3

where y is the "average life expectancy for a woman" since 1980. Thus, x is the number of years 1980. What is the predicted average life expectancy of a woman in the year 2017?

Average Life Expectancy = ??

Solution:

in 2017, x=37

So

y = (6000+67x-2.2x^2+.04x^3)/100 = (6000+67*37-2.2(37)^2+.04(37)^3)/100 = 74.93

So the predicted average life expectancy of a woman is 74.93 yrs