The amount of garbage a produced by a city with population p

The amount of garbage, a produced by a city with population p is given by G = f (p). G is measured in tons per week and p is measured is thousands of people. The town of total has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function f. Explain the meaning of the statement f (s) = 2

Solution

(a) Given:

G = f(p)                    (1)

where

G = Garbage, in tons per week

p = Population, in thousands

Population = 40,000

So, p = 40

Garbage = 13 tons per week

So, G = 13

So, (1) becomes:

13 = f(40)

(b) f(5) = 2                      (2)

We have G = f(p)                (3)

Comparing (2) & (3) , we get:

G = 2

p = 5.

That means in a city with population of 5000 people, garrbage per week is 2 tons per week.