Let's break down the problem step by step:

A. How many hours did she work this week?

We'll calculate the total number of hours worked each day:

• Monday: In at 9:00 AM, out at 5:00 PM → 8 hours
• Tuesday: In at 9:00 AM, out at 6:00 PM → 9 hours
• Wednesday: In at 8:30 AM, out at 5:30 PM → 9 hours
• Thursday: In at 9:00 AM, out at 4:30 PM → 7.5 hours
• Friday: In at 9:00 AM, out at 4:00 PM → 7 hours

Now, let's sum these hours:

$8 + 9 + 9 + 7.5 + 7 = 40.5 \text{ hours}$

She worked 40.5 hours this week.

B. Find her weekly wage

She is paid $22.50 per hour, so we multiply the number of hours by her hourly rate:

$40.5 \times 22.50 = 911.25$

Her weekly wage is $911.25.

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Would you like any further explanation? Here are some additional related questions:

1. What is her daily wage for each day of the week?
2. How much would she earn if she worked an extra 5 hours in the week?
3. What is her average number of hours worked per day?
4. How many hours would she need to work to make $1000 in a week?
5. How would overtime affect her weekly wage if the overtime rate is 1.5 times her normal pay?

Tip: When calculating weekly hours, always check if the worker is paid for lunch breaks or not, as that can affect the total hours.