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.
