Question

NEED SOMEONE TO CHECK AND TELL ME C

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)



A)
f(x)=30*0.2x
f(x)=45+3x
B)
f(x)=30+0.2(5)=31
f(x)=45+3(5)=60
C)

Answer 1

Part A:
f(x)=30(1.2)^x
f(x)=45+3x

Part B: Neighborhood A is 74.6496, so that rounds to 75 homes, and Neighborhood C is exactly 60 homes

Part C:
i would graph them in a graphing calculator, and use the functions to see where the 2 lines intersect.

The x value for when they intersect (# of years) is 3.3207883, so approx. 3.3 years for them to be equal