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.

a. The town of Tola has a population of 50,000 and produces 12 tons of garbage each week. Express this information in terms of the function f.
Enter your answer as an equation. Do not enter an any units (people, tons) or commas in your answer.
Include a multiplication sign between symbols if you need to. For example, enter az and not just ar.
b. Explain the meaning of the statement ƒ (7) = 5.
The amount of garbage produced per week by a city with population 7 is 5 tons.
The amount of garbage produced per week by a city with population 7,000 is 5 tons.
The amount of garbage produced per week by a city with population 70,000 is 5 tons.
The amount of garbage produced per week by a city with population 5 is 7 tons.
The amount of garbage produced per week by a city with population 5.000 is 7 tons.

Answer 1

To represent the garbage production of Tola, we use the function notation f(50) = 12. The statement f(7) = 5 means a city with 7,000 people produces 5 tons of garbage weekly.

Step-by-step explanation:

The amount of garbage, G, produced by a city with population p is given by G = f(p). To express the information of the town of Tola, which has a population of 50,000 and produces 12 tons of garbage each week, in terms of the function f, we would write f(50) = 12 since population p is measured in thousands and no units are included in the function notation.

For the statement f(7) = 5, it means that the amount of garbage produced per week by a city with population 7,000 is 5 tons. The argument of function f, which is 7, represents thousands of people, hence the population is 7,000.