Question

The amount of garbage, G produced by a city with population p is given by G=f(p). G is measured in tons per week, and p is measured in thousands of people.
The town of Tola has a population of 20,000 and produces 12 tons of garbage each week. Express this information in terms of the function f.

Answer 1

Given that the population \( p \) is measured in thousands of people, for the town of Tola with a population of 20,000, we can express \( p \) as:

\[
p = \frac{20,000}{1,000} = 20
\]

The town produces 12 tons of garbage each week, which we can express as:

\[
G = 12
\]

We can represent the relationship between garbage produced and population in terms of the function \( f \):

\[
f(p) = G
\]

So for Tola, we can write:

\[
f(20) = 12
\]

This means that when the population \( p \) is 20 (thousand people), the amount of garbage produced \( G \) is 12 tons per week. Thus, the information can be expressed as:

\[
f(20) = 12
\]