Question

question 8
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.
a. the town of tola has a population of 60000 and produces 12 tons of garbage each week. express this information in terms of the function f.
f( )=
b. explain the meaning of the statement f(80000) = 11.
the town of tola has a population of 11 and produces 80000 tons of garbage each week.
the town of tola has a population of 80000 and produces 11 tons of garbage each week.

Explanation:

Step1: Analyze the function input and output

The function \(G = f(p)\) has \(p\) (population) as the input and \(G\) (garbage amount) as the output.
For part a, when \(p = 60000\), \(G=12\). So \(f(60000)=12\).

Step2: Interpret the function \(f(80000) = 11\)

Based on the function definition \(G = f(p)\), when \(p = 80000\) (population), \(G = 11\) (garbage amount in tons per week).

Answer:

a. \(f(60000)=12\)
b. The town of Tola has a population of 80000 and produces 11 tons of garbage each week.