[tex]\begin{gathered} we\text{ must find Karen's earn in one hour. To solve this, we can use the rule of thre}e\colon \\ 6\text{ hours -----\$28.5} \\ 1\text{ hours -----x} \\ \text{hence} \\ x=\frac{(1)(28.5)}{6} \\ x=\frac{28.5}{6} \\ x=4.75\text{ dollars} \\ \text{hence we can write the following relation:} \end{gathered}[/tex][tex]\begin{gathered} m=4.75\text{ h} \\ \text{where m is the earn and h the hours. With this relation, we can find Karen's earn in 10 hours, } \\ \text{that is, for h=10, one has} \\ m=4.75(10) \\ m=47.5\text{ dollars} \end{gathered}[/tex]
