Problema Solution
2. Television Time
The following numerical representation for f computes the average number of hours of television watched per day based on year of birth x.
x 1975 1980 1983 1988 1988 1992 1992
f(x) 2 2.5 3 3.5 4 3.5 4
(a) Give a numerical representation for a function g that computes the average number of hours of television watched per day for the year x, where x = 0 corresponds to the birth year 1975.
(b) Write an equation that shows the relationship between f(x) and g(x).
(c) Do you see any trends? What do you think the data would suggest from 2000 to today? Why?
Answer provided by our tutors
(a)
x (1975-175) (1980-175) (1983-175) (1988-175) (1988-175) (1992-175) (1992-175)
x 0 5 8 13 13 17 17
g(x) 2 2.5 3 3.5 4 3.5 4
(b) g(x) = f(1975 + x)
(c) the average number of hours of television watched per day is increasing
the later the year of the birth the bigger the average number of hours of television watched per day