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.

Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years?

Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically

Question

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.

Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years?

Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically

boldjon · Answer

Part A: $$f(x)=30*0.2x$$and$$f(x)=45+3x$$
Part B: $$f(x)=30+0.2(5)$$$$f(x)=45+3(5)$$For Part B solve them.
Part C: No idea. Ask someone else.