Jaylen, age $13,$ is claimed as a dependent by his parents whose tax rate is $35$ percent. Jaylen has unearned income of $$3,400$ and $$300$ of income from mowing lawns in the neighborhood. If the rate on Jaylen's portion of income is $10$ percent, what is Jaylen$$s $2022$ income tax liability?

a$.$ $$500$

b$.$ $$1,295$

c$.$ $$115$

d$.$ $$385$