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

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

Ok so first you need to make functions to model these...
Neighborhood A is an exponential function and B is a linear function
Do you think you can do that?

Answer 2

for part A
neighborhood A
f(x)=30+6x
neighborhood B
f(x)=45+3x
where x = number of years

Answer 3

Thank you <3