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The given problem involves a function \( G = f(p) \), where \( G \) represents the amount of garbage (measured in tons per week) produced by a city with a population \( p \) (measured in thousands of people).

### Problem Breakdown:
- **Population (p)**: The town of Tola has a population of 25,000 people. In terms of thousands, this means \( p = 25 \).
- **Garbage (G)**: The town produces 10 tons of garbage each week. So, \( G = 10 \).

This information needs to be expressed in terms of the function \( f(p) \), which relates the population \( p \) to the garbage produced \( G \).

### Solution:

Since \( p = 25 \) and \( G = 10 \), we can write this in the form:
\[
f(25) = 10
\]
This means that for a population of 25,000 people, the town produces 10 tons of garbage per week.

Thus, the correct answer is:
\[
f(25) = 10
\]

### Answer: 
The first option, \( f(25) = 10 \), is correct.

Would you like more details or have any other questions?

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Here are some related questions to deepen your understanding:
1. How would the function \( f(p) \) look like if the relationship between population and garbage production were linear?
2. What is the interpretation of \( f(p) \) in the context of this problem?
3. How would you express the function if the population were 50,000 and the garbage produced was 20 tons?
4. How would changes in population affect garbage production if the relationship was proportional?
5. How would you compute \( f(p) \) if given a nonlinear relationship between garbage production and population?

**Tip**: Always pay attention to the units when setting up functions from real-world problems!

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 25,000 and produces 10 tons of garbage each week. Express this information in terms of the function f.

Explore how to model garbage production in a city using the function f(p), where p is the population in thousands and G is the garbage produced in tons per week. For the town of Tola, with a population of 25,000, the function evaluates to f(25) = 10.

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