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.

Question

Physics

Dracula

10 May, 12:30

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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Answers (1)

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Alexis Meza · Answer 1

f (40) = 13

f (5) = 2 means that a city with a population of 5000 produces 2 tons of garbage per week.

Explanation:

Hi there!

The amount of garbage per week is 13 tons. Then, G = 13 tons per week.

The population of Tola is 40000 or 40 thousands (p = 40). Then, in terms of the function f:

f (40) = 13

f (5) = 2

f (p) = G

p = population measured in thousands = 5 = 5000 people

G = tons of garbage produced per week = 2

The expression means that a city with a population of 5000 produces 2 tons garbage per week.