Question

PLEASE HELP!!!!!!!!!!

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)

Answer 1

@Falconmaster

Answer 2

Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)
\(y = 30 (1.2)^x\)
\(y= 45 + 3*x\)
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)
\(30(1.2)^5= 74.65\)
\(45 + 3*5= 60\)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically.
solve
\(30 (1.2)^x = 45 + 3*x\)
using a graphing calculator i got
x = \(3.32079\)
in the third year the number of homes are the same

Answer 3

THANK YOU!!!!!!!!!!!!!!!!!

Answer 4

You're welcome