Question

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 30,000 and produces 8 tons of garbage each week. express this information in terms of the function f f(30) = 8 f = 8/30 f(8) = 30

Explanation:

Step1: Analizar la variable \( p \)

La población \( p \) se mide en miles de personas. La población de Tola es 30,000, así que \( p = \frac{30000}{1000} = 30 \).

Step2: Analizar la variable \( G \)

La cantidad de basura \( G \) es 8 toneladas por semana, así que \( G = 8 \).

Step3: Relacionar con la función \( f \)

Dado que \( G = f(p) \), sustituyendo \( p = 30 \) y \( G = 8 \), tenemos \( f(30) = 8 \).

Answer:

\( f(30) = 8 \)