Questions: 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 Tola has a population of 45,000 and produces 5 tons of garbage each week. Express this information in terms of the function f

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 Tola has a population of 45,000 and produces 5 tons of garbage each week. Express this information in terms of the function f

Transcript text: 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 Tola has a population of 45,000 and produces 5 tons of garbage each week. Express this information in terms of the function $f$

Solution

Solution Steps

Hint

To express the given information using the function $f$, convert the population of the town to the required unit (thousands) and then substitute this value into the function to equate it to the given average garbage production.

Step 1: Convert Population to Thousands

The population of Tola is given as 45,000 people. To express this in thousands, we calculate:

\[ p = \frac{45000}{1000} = 45.0 \]

Step 2: Express Garbage Production

The town produces 5 tons of garbage each week. This can be expressed in terms of the function $ f $:

\[ G = f(p) = 5 \]

Step 3: Write the Function Expression

Substituting the population value into the function, we have:

\[ f(45.0) = 5 \]