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