Need someone to check and tell me c

there are 30 homes in neighborhood a. each year, the number of homes increases by 20%. just down the road, neighborhood b has 45 homes. each year, 3 new homes are built in neighborhood b.

part a: write functions to represent the number of homes in neighborhood a and neighborhood b throughout the years. (4 points)
part b: how many homes does neighborhood a have after 5 years? how many does neighborhood b have after the same number of years? (2 points)
part c: after approximately how many years is the number of homes in neighborhood a and neighborhood b the same? justify your answer mathematically. (4 points)

a)
f(x)=30*0.2x
f(x)=45+3x
b)
f(x)=30+0.2(5)=31
f(x)=45+3(5)=60
c)