baylelandrye
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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)

Verified Answer :

Echonon

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

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