How can I convince my parents to help me pay for a car?

I am almost 15 years old, and am trying to have foresight in planning for when I turn 16 and will want a car. My birthday is in December and I am a freshman in high school, so I will not turn 16 until my junior year. Therefore, I will be one of the last students in my cl to be able to get my driver's license. Our family is somewhat well off, but we don't have money to go and just buy a car. However, the town that we live in is very wealthy so many of my friends are getting/have gotten a car when they turn 16 or soon after. I am in many AP cles, and get all A's. In addition, I am involved a lot in music, playing the piano and cello and also playing in symphony. I have brought up to my parents on a couple of occasions the possibility of getting a car soon after I turn 16, mentioning the fact that my birthday is extremely late, that I work hard to maintain high grades and do well in extracurriculars, and that they constantly have to drive me places. They generally respond with "Trust me, most 16 year olds don't have cars." And yes, I have pointed out to them that most turn 16 during their sopre year. I know that this is far into the future, but I want to plan ahead so that when the time comes, I will be completely ready. Also, I have looked into getting a job, but very few places will higher if you're still in high school, let alone not quite 15 years old. Plus with my AP cles, I don't think that I would have time for a job anyways. My parents don't give me an allowance but I still do chores around the house. Do you have any suggestions?