I am a 16-year-old girl, and I plan to travel near my home with the money I earned from working for more than a week in the summer vacation, but my parents didn't pick me up.

I definitely won't agree. First of all, you are too young. They are mainly afraid that something will happen to you outside. A person can't take care of himself, and he can't stand meeting bad people or something.

Personally, if you are alone, it is best not to travel alone. If you really want to go, you can find some companions. It's really no good asking parents to go together. In short, it is to find some ways to reassure them.