Math Problem Statement
The amount of garbage, G, in tons per week, produced by a city with population p, measured in thousands of people, is given by G = f(p). The town of Nola has a population of 45,000 and produces 10 tons of garbage each week. Express this information in terms of the function f
Solution
Given the problem, the function represents the amount of garbage produced by a city based on its population. Here, is the amount of garbage in tons per week, and is the population in thousands of people.
Problem Details:
- The population of the town of Nola, , is 45,000 people. Since is measured in thousands, we have:
- The town produces 10 tons of garbage each week, so tons.
Expressing the Information in Terms of the Function :
Using the given information, we can express the relationship as:
This means that when the population is 45 (i.e., 45,000 people), the function produces a value of 10 tons of garbage per week.
Would you like further details on how to interpret this function or explore related concepts?
Related Questions:
- What would represent if the population were 60,000 people?
- How would you interpret in the context of this problem?
- If another town produces 15 tons of garbage each week with a population of 60,000, how would you express this using ?
- How can you find the population that produces 20 tons of garbage per week if you know the function ?
- If the population doubles, how might that affect the amount of garbage produced?
Tip: Expressing information in terms of a function allows you to see the relationship between variables, making it easier to predict outcomes for different inputs.
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Math Problem Analysis
Mathematical Concepts
Functions
Linear Equations
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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