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

Given the problem, the function \( G = f(p) \) represents the amount of garbage produced by a city based on its population. Here, \( G \) is the amount of garbage in tons per week, and \( p \) is the population in thousands of people.

### Problem Details:
- The population of the town of Nola, \( p \), is 45,000 people. Since \( p \) is measured in thousands, we have:
  \[
  p = \frac{45,000}{1,000} = 45
  \]
- The town produces 10 tons of garbage each week, so \( G = 10 \) tons.

### Expressing the Information in Terms of the Function \( f \):
Using the given information, we can express the relationship as:
\[
f(45) = 10
\]

This means that when the population \( p \) is 45 (i.e., 45,000 people), the function \( f \) 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:
1. What would \( f(p) \) represent if the population were 60,000 people?
2. How would you interpret \( f(50) = 12 \) in the context of this problem?
3. If another town produces 15 tons of garbage each week with a population of 60,000, how would you express this using \( f(p) \)?
4. How can you find the population that produces 20 tons of garbage per week if you know the function \( f(p) \)?
5. 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.

Understand how the function f(p) relates to garbage production in a city based on population. Explore how the town of Nola, with a population of 45,000, produces 10 tons of garbage per week, expressed through the function f(p). Suitable for students in Grades 7-9.

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