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)

I'm only going to complete Part B. The other two are a bit easier and I believe you can do it! :D
Neighborhood A

Year 1: 30 increased by 20% = 6 more homes.
Year 2: 36 increased by 20% = 7.2 more homes ... 7 more homes. You cannot round in these types of problems.
Year 3: 43 increased by 20% = 8.6 ... 8 more homes.
Year 4: 51 increased by 20% = 10.2 ... 10 more homes.
Year 5: 61 increased by 20% = 12.2 ... 12 more homes.
At the end of 5 years Neighborhood A will have 73 homes in total.

Neighborhood B

Year 1: 45 +3 = 48
Year 2: 48 +3 = 51
Year 3: 51 +3 = 54
Year 4: 54 +3 = 57
Year 5: 57 +3= 60 homes
After 5 years Neighborhood B will have 60 homes.
Hope this helped! I will do Part A or Part C later if I have time and you still need assistance.