Answer :

[tex]\begin{gathered} \text{For rate} \\ \text{rate =}\frac{Earned}{Time} \\ \text{Earned = \$55.50} \\ \text{Time = 5 hours} \\ \text{rate}=\frac{\text{ \$55.50}}{5\text{ hours}}=\text{ \$11.10 per hour} \\ \text{For 7 hours} \\ \text{Earned = (\$11.10 per hour)(7 hours)} \\ \text{Earned = \$77.70} \\ \text{She will earned \$ 77.70 for 7 hours} \end{gathered}[/tex]