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

1. Calculate Shaniya's weekly income:

   $\text{Weekly Income} = \text{Hourly Rate} \times \text{Hours per Week}$

   $\text{Weekly Income} = 15.85 \times 36 = 570.60$

2. Calculate her total weekly expenses:

   She pays her parents $90 per week for the water bill and spends $75 on herself.

   $\text{Total Weekly Expenses} = 90 + 75 = 165$

3. Calculate how much she saves per week:

   $\text{Weekly Savings} = \text{Weekly Income} - \text{Total Weekly Expenses}$

   $\text{Weekly Savings} = 570.60 - 165 = 405.60$

4. Determine how many weeks she needs to save to cover the move-out expenses:

   $\text{Number of Weeks} = \frac{\text{Move-Out Expenses}}{\text{Weekly Savings}}$

   $\text{Number of Weeks} = \frac{4800}{405.60} \approx 11.84$

So, Shaniya will need to work approximately 12 weeks to save enough money to move out on her own.

Would you like more details on any step? Here are 5 related questions for deeper exploration:

1. How would the timeline change if Shaniya worked more hours per week?
2. What if Shaniya’s move-out expenses increased by 10%?
3. How much would Shaniya need to save if her rent after moving out is $800 per month?
4. What happens if her hourly wage increases to $18?
5. How much could Shaniya save in a year at this rate?

Tip: Tracking weekly savings can help plan for long-term financial goals more effectively.