Question

Write an equation of variation to represent the situation and solve for the indicated information Karen earns $28.50 for working six hours. If the amount m she earns varies directly withh the number of hours she works, how much will she earn for working 10 hours?

Answer 1

`\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=((1)(28.5))/(6) \\ x=(28.5)/(6) \\ x=4.75\text{ dollars} \\ \text{hence we can write the following relation:} \end{gathered}`
`\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}`