let ft be the number of men and let gt be the number of wome

let f(t) be the number of men and let g(t) be the number of women residing in a certain town in year t. let h(t) be the average income, in dollars, of that town in year t. If f(t) = 250+ 5t, g(t) = 275 + 9t, and h(t) = 32,000 + 400t, find a simplified formula for the total amount of money earned by all adult residents of the town in year 3.

Solution

No. of men = f(t) = 250+ 5t

No. of women = g(t) = 275 + 9t

Avg. income = h(t) = 32,000 + 400t

Total income after 3 years = h(3)*[f(3) + g(3)]

                                          = (32000 + 1200)*[(250 + 15) + (275 + 27)]

                                          = $ 18824400