Answer:
Her hourly rate is $14.
Explanation:
Given:
Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays.
She works 8 hours each on Wednesdays or Thursdays.
Now, to find her hourly rate.
So, total hours Penelope work on Mondays, Tuesdays, and Fridays:
![4.5+4.5+4.5=13.5\ hours.](https://img.qammunity.org/2021/formulas/mathematics/high-school/9yluasnl2p6a28mvot8kpsv0v3bon1gp2d.png)
And, total hours she work on Wednesdays and Thursdays:
![8+8=16\ hours.](https://img.qammunity.org/2021/formulas/mathematics/high-school/lwbomklldha0r17ntq95nfqdaseqw47rmx.png)
Now, the total hours each week she work:
![13.5+16=29.5\ hours.](https://img.qammunity.org/2021/formulas/mathematics/high-school/851h743bmbc8i20nyttfc3nv47iwbp6x3k.png)
Total money she makes each week = $413.
Now, to get the hourly rate we divide the total hours each week she work by total money she makes each week:
![413/ 29.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/wic2cskjagf2l2eqhy49sbkover8bv0qtd.png)
![=\$14.](https://img.qammunity.org/2021/formulas/mathematics/high-school/qad6nwcvc9fihy1bj37ujde3kvtkqmkiaq.png)
Therefore, her hourly rate is $14.