To determine how many weeks Zaryah will need to work before she can move out, we need to follow these steps:

1. Calculate her weekly earnings:

   Zaryah earns $13.75 per hour and works 38 hours per week. $\text{Weekly earnings} = 13.75 \times 38 = 522.50$

2. Determine her weekly savings:

   After earning $522.50 per week, she spends $50 to help her family with the electric bill and $40 on herself. $\text{Weekly savings} = 522.50 - 50 - 40 = 432.50$

3. Determine how many weeks it will take to save enough to move out:

   Zaryah needs to save $3,780 to move out. $\text{Weeks needed} = \frac{3,780}{432.50} \approx 8.74$

Since Zaryah can't work a fraction of a week, she will need 9 weeks to save enough to move out.

Would you like more details or have any questions about the process?

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Here are 5 related questions to expand on this information:

1. How would the calculation change if Zaryah worked more hours per week?
2. What if her move-out expenses increased to $4,000? How many weeks would that take?
3. How would it affect her savings if she reduced her spending by $10 per week?
4. What percentage of her weekly income does she contribute to the electric bill?
5. How much would she need to save per week if she wanted to move out in 6 weeks?

Tip: Keeping track of your weekly expenses and savings helps you plan for future financial goals more efficiently.