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 11 tons of garbage each week. express
this information in terms of the function f.
f( )=
b. explain the meaning of the statement f(50000) = 20.
o the town of tola has a population of 50000 and produces 20 tons of garbage each week.
o the town of tola has a population of 20 and produces 50000 tons of garbage each week.
question 9

Explanation:

Step1: Analyze the function relationship

Given \(G = f(p)\), where \(G\) is garbage amount (tons per week) and \(p\) is population.
For part a, when \(p = 60000\) and \(G=11\), substitute into the function \(f(p)\).

Step2: Substitute values into the function

We get \(f(60000)=11\).
For part b, using the function \(G = f(p)\) interpretation: \(p\) is population and \(G\) is garbage amount. When \(p = 50000\) and \(G = 20\), the meaning is the town has a population of \(50000\) and produces \(20\) tons of garbage each week.

Answer:

a. \(f(60000)=11\)
b. The town of Tola has a population of \(50000\) and produces \(20\) tons of garbage each week.