Answer:
Her hourly rate is <u>$14</u>.
Step-by-step 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://tex.z-dn.net/?f=4.5%2B4.5%2B4.5%3D13.5%5C%20hours.)
And, total hours she work on Wednesdays and Thursdays:
![8+8=16\ hours.](https://tex.z-dn.net/?f=8%2B8%3D16%5C%20hours.)
Now,<em><u> the total hours each week she work:</u></em>
![13.5+16=29.5\ hours.](https://tex.z-dn.net/?f=13.5%2B16%3D29.5%5C%20hours.)
<u><em>Total money she makes each week</em></u> = $413.
Now, to get the hourly rate we divide the total hours each week she work by total money she makes each week:
![413\div 29.5](https://tex.z-dn.net/?f=413%5Cdiv%2029.5)
![=\$14.](https://tex.z-dn.net/?f=%3D%5C%2414.)
Therefore, her hourly rate is $14.