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 13 tons of garbage each week. Express this information in terms of the function $$ f $$ $$ f=13 / 25 $$ $$ f(13)=25 $$ $$ f(25)=13 $$ (4) Question Help: Video

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To express the given information in terms of the function $$ f $$, let's break down the problem:

1. **Variables:**
   - $$ G $$ represents the amount of garbage produced, measured in tons per week.
   - $$ p $$ represents the population, measured in thousands of people.

2. **Given Data:**
   - The town of Tola has a population of 25,000. Since $$ p $$ is in thousands, $$ p = 25 $$.
   - Tola produces 13 tons of garbage each week. So, $$ G = 13 $$.

3. **Function Representation:**
   - The function $$ f $$ relates the population $$ p $$ to the garbage produced $$ G $$, i.e., $$ G = f(p) $$.
   - Substituting the given values: 
     $$
     13 = f(25)
     $$
   - This means that when the population is 25 (thousand people), the garbage produced is 13 tons.

**Correct Expression:**
$$
f(25) = 13
$$

**Answer:** $$ f(25) = 13 $$
$$ f(25) = 13 $$

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