Given :
the relation between garbage, G, produced by a city with population p
![G=f(p)](https://img.qammunity.org/2023/formulas/mathematics/college/zb028grlbn1apv1ab4wko70df1n4rngas1.png)
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](https://img.qammunity.org/2023/formulas/mathematics/high-school/fcuuhkivnayhd5p4jnssomfkt33q4mi6dk.png)
So, the constant k will be :
![k=(G)/(p)=(11)/(30)](https://img.qammunity.org/2023/formulas/mathematics/high-school/zbvqxrj2cpxw47w11eukqjnf855mjrdfao.png)
So, the relation will be :
![G=(11)/(30)\cdot p](https://img.qammunity.org/2023/formulas/mathematics/high-school/75wjrjyczushh49cvroou5rye5hiz02nhj.png)
So, the equation will be : G = 11/30 * p