Question

help with this problem or this material? use the Academic Support resources your homepage in Brightspace or ning modules. 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. a. The town of Tola has a population of 30,000 and produces 11 tons of garbage each week. Express this information in terms of the function f. Enter your answer as an equation. Do not enter an any units (people, tons) or commas in your answer. Include a multiplication sign between symbols if you need to. For example, enter a x and not just ar.

Answer 1

Given :

the relation between garbage, G, produced by a city with population p

$G=f(p)$

G is measured in tons per week, and p is measured in thousands of people.

When : p = 30,000 = 30 thousands , G = 11 tons each week

So, as there is a direct variations between G and p

The relation will take the form :

$G=k\cdot p$

So, the constant k will be :

$k=\frac{G}{p}=\frac{11}{30}$

So, the relation will be :

$G=\frac{11}{30}\cdot p$

So, the equation will be : G = 11/30 * p