Age of employees in 2003 and 2009

Question

The function​ A(s) given by

​A(s)=0.328s+50

can be used to estimate the average age of employees of a company in the years 1981 to 2009. Let​ A(s) be the average age of an​ employee, and s be the number of years since​ 1981; that​ is,

s=0

for 1981 and

s=9

for 1990. What was the average age of the employees in 2003 and in​ 2009?

Answer 1

The function A(s) = 0.328s + 50 gives you the answer. You are told that A(s) is the average age and you are told that "s" is the number of years after 1981. So, in 1981, when s = 0, then the average age is 0.328•0 + 50 or the average age is 50. In 1986, when s = 5, the average age is 0.328•5 + 50 which calculates to the average age being 51.64. In 1991 when s = 10, the average age is 0.328•10 + 50 meaning the average age is 53.28. In 2001, when s = 20, the average age is 0.328•20 + 50 meaning the average age is 56.56. You can figure it out from here.