What do you learn about Percy’s home life watching taxis on Fith Avenue?

From the text, we can infer that Percy misses his mother greatly..... we can also infer by the number of schools he has attended that there has to be a reason he is kicked out.... though we aren't aware of what it is. Essentially, it seems that Percy is lonely and afraid of disappointing his mother..... again.

I watched the stream of cabs going down Fifth Avenue, and thought about my mom's apartment, only a little ways uptown from where we sat. I hadn't seen her since Christmas. I wanted so bad to jump in a taxi and head home. She'd hug me and be glad to see me, but she'd be disappointed, too. She'd send me right back to Yancy, remind me that I had to try harder, even if this was my sixth school in six years and I was probably going to be kicked out again. I wouldn't be able to stand that sad look she'd give me.