On the basis of data for the years 1916 through 1994 , the expected life span of people in a country can be described by the function $f(x)=12.169$ In $x+17.024$ years, where $x$ is the number of years from 1900 to the person's birth year. What does this model estimate the life span to be for people born in 1987 ? This model estimates that the life span for people born in 1987 is years (Round to the nearest year as needed)

Step 1 ：The question is asking for the expected lifespan of people born in 1987. To find this, we need to substitute the value of x in the function f(x) with the number of years from 1900 to 1987.

Step 2 ：Let's calculate the value of x. Since x is the number of years from 1900 to the person's birth year, for a person born in 1987, x = 1987 - 1900 = 87.

Step 3 ：Substitute x = 87 into the function f(x) = 12.169 In x + 17.024. This gives us f(87) = 12.169 In 87 + 17.024 = 1075.7269999999999.

Step 4 ：Round the result to the nearest year. The expected lifespan for people born in 1987 is therefore \(\boxed{1076}\) years.