## anonymous one year ago 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 and these are my equations y=(1.2)^x ( Neighborhood A) y=40+3x ( Neighborhood B) now when is it the same?

1. Astrophysics

An easy way to do this would be to plug in the number of years in x, and see if they gave you the same number

2. Astrophysics

Your first equation should be $y=30(1.2)^x$

3. anonymous

i tried doing that but it didnt work out as planned

4. Astrophysics

Yes it maybe hard to do without a graph, so here is the graph, the point where it's the same is the intersection |dw:1435973442483:dw| :)

5. anonymous

how do u blow it up cause i cant see nothing

6. Astrophysics

Hey, just go on this site and plug in the equation as I have on the left, I think if you see for yourself it will be much clearer https://www.desmos.com/calculator

7. anonymous

okay thx

8. Astrophysics

Np

9. nincompoop

equate both of the functions and solve for zeroes

10. nincompoop

intersection

11. Astrophysics

Naw, no need

12. Astrophysics

Just use graph

13. nincompoop

is this calculus or just algebra?

14. Astrophysics

algebra

15. nincompoop

16. Astrophysics

It would be annoying to equate them as well haha

17. nincompoop

in case you need to test your algebra skills on logarithmic and and linear equations, this would be a good problem to solve for intersection (value of x and y)

18. Astrophysics

Actually it's not too bad, would require you to know your exponent rules though

19. Astrophysics

$30\left( \frac{ 2^2 \times 3 }{ 2 \times 5 } \right)^2 = 40+x...$ etc

20. anonymous

this is not working out @astrophycsics

21. anonymous

thx to the person that gave me the metal

22. Astrophysics

Np, don't let the negative value confuse you!