Let ft be the number of men and gt be the number of women in

Let f(t) be the number of men and g(t) be the number of women in Canada in year t. Let h(t) be the average income, in Canadian dollars, of women in Canada in year t. In this problem, you do not have explicit equations for the functions f(), g(t), or h(t), so you are not able to write explicit equations to represent these functions. Your answers should be expressions obtained by adding, subtracting, multiplying, dividing, and/or composing the functions f(t) g(t), and h(t). Find an expression for the function p(t) which gives the total number of people in Canada in the year t. Find an expression for the total amount of money m(t) earned by Canadian women in the year t.

Solution

(a)

the total number of people in canada in year t is:

p(t) = f(t) + g(t)

(b)

the total amount of money:

m(t) = f(t)h(t) + g(t)h(t)