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)
Part 1:
Neighborhood A: 30(1+0.2) ^1 for one year
Neighborhood B: 45+3x
Part 2:
Neighborhood A: 30(1+0.2) ^5
74.6 approx 75 houses in 5 years
Neighborhood B: 45+3(5)
60 houses in 5 years
I don't know how to do part C, sorry.
f(x)=30+0.2(5)f(x)=45+3(5)<span> Neighborhood A and neighborhood B both have 60 houses after 5 years </span> ___________________________________________________________