To determine how many weeks Janelle needs to work before she can afford to move out, we need to calculate her weekly savings and then see how long it will take her to accumulate the $7,575 needed.

Step 1: Calculate Janelle's weekly earnings

Janelle earns $15.00 per hour and works 30 hours per week.

$\text{Weekly earnings} = 15 \times 30 = 450$

Step 2: Calculate Janelle's weekly expenses

Janelle spends $40 per week on herself.

Step 3: Calculate Janelle's weekly savings

Subtract her weekly expenses from her weekly earnings to find her savings.

$\text{Weekly savings} = 450 - 40 = 410$

Step 4: Calculate the number of weeks needed to save $7,575

To find how many weeks it will take to save $7,575, divide the total amount needed by her weekly savings.

$\text{Number of weeks} = \frac{7575}{410} \approx 18.47$

Since Janelle cannot work a fraction of a week, she will need to work 19 weeks to save enough money to move out.

Final Answer

Janelle will need to work 19 weeks before she can move out on her own.

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Related Questions:

1. How would her savings change if her weekly expenses increased?
2. What if her hourly wage increased to $18 per hour? How many weeks would she need then?
3. How much would she need to save weekly if she wants to move out in 15 weeks?
4. If her expenses were $60 per week, how many weeks would she need to save?
5. What if she worked 35 hours per week instead? How would that affect her savings?

Tip: Consistently reviewing your savings and expenses can help you reach your financial goals faster.