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.

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 1 · 2022-02-05T06:54:45+01:00

The given information in terms of the function f can be expressed as,

[tex]13=f(45)[/tex]

The statement of [tex]2=f(5)[/tex] expression is a town has a population of 5000 and produces 5 tons of garbage each week.

To convert the statement into the function,

Given information-

The population of the Tola town is 40000.

The total amount of garbage each week Tola town produces is 13 tons.

The amount of garbage, G, produced by a city with population p is given by,

[tex]G=f(p)[/tex]

Here, G is measured in tons per week, and p is measured in thousands of people.

1) In the given problem the garbage produced per week [tex]G[/tex] is 13 tons and number of people [tex]p[/tex] is 45 thousand. Thus replace the values in the given equation to find required equation as,

[tex]13=f(45)[/tex]

Thus the given information in terms of the function f can be expressed as,

[tex]13=f(45)[/tex]

[tex]f(5)=2[/tex]

Rewrite it as,

[tex]2=f(5)[/tex]

Compare it with the general expression of problem.

Hence the statement of [tex]2=f(5)[/tex] expression is a town has a population of 5000 and produces 5 tons of garbage each week.

Hence,

The given information in terms of the function f can be expressed as,

[tex]13=f(45)[/tex]

The statement of [tex]2=f(5)[/tex] expression is a town has a population of 5000 and produces 5 tons of garbage each week.

Learn more about the function here;

https://brainly.com/question/24502219