Here is a general budget you will have as a fully-functioning adult. $10 an hour before taxes is like $8.50 after taxes. Let's say you can part-time hours year-round at 15 hours a week, and make $552 a month:
10% of your monthly income should be going to long-term (ie. retirement) savings: $55.20 a month.
15% goes to debt repayment/emergency fund: $82.80 a month. Are you planning on having school debt to pay off? This money can be saved up to pay that down once you graduate. You need an emergency fund worth 3 - 6 months of your income in case s&&& happens (aka $3312 saved up).
35% goes to housing (rent, mortgage, bills, utilities, etc.): $193.20 a month. While living at home, this money should be set aside purely in savings as you're "paying rent", so that you can learn if you can survive without this money and also so you can boost your savings.
15% goes to transportation (gas, insurance, car payments, repairs, bus): $82.80 a month. If your school offers a free bus pass, you can use this money towards your housing, but once you move you'll have to look at what your travel options are and how much it'll cost you.
25% goes to life (food, entertainment, clothing, gifts, travel, medical, phone, etc.): $138 a month, or $32 a week. This amount is laughable, do the household/groceries for a month for your family and you'll find out it's not reasonable.
Keep in mind that IF you get approved you will absolutely have to work during the school year, if you don't have enough credit history you may need your parents to cosign, and that you will need enough for first month's rent, last month's rent, and possibly a security deposit also.
For the numbers above, they work because you're living at home and you're not footing the bills. The budget is just to outline what you will need to work towards, and what you will need to do to get there.