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 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(5) = 2.

Answer 1

the expression of the information in terms of function f is:

13 = f(40)

The town of Tola has a population of 5000 persons and produces 2 tons of garbage each week.

Explanation:

suppose G and p are the two unknowns variables.

where;

G is measured in tons per week and:

p is measured in thousands of people.

∴

The relation between the amount of garbage produced by a city with population p can be expressed as:

G = f(p)

However;

The town of Tola has a population of 40,000 and produces 13 tons of garbage each week.

The objective is to express the information in terms of the function f.

So, if there is a population of 40,000 person in the town,

since p is measured in person per thousand and the value of garbage produced is 13 tons per week.

∴ the expression of the information in terms of function f is:

13 = f(40)

Explain the meaning of the statement f(5) = 2.

The given statement implies that

P which is measured in thousand people = 5

and the value of the garbage produced is 2.

SO , we can say that;

The town of Tola has a population of 5000 persons and produces 2 tons of garbage each week.