Question

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?

Answer 1

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

Answer 2

Your first equation should be \[y=30(1.2)^x\]

Answer 3

i tried doing that but it didnt work out as planned

Answer 4

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

Answer 5

how do u blow it up cause i cant see nothing

Answer 6

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

Answer 7

okay thx

Answer 8

Np

Answer 9

equate both of the functions and solve for zeroes

Answer 10

intersection

Answer 11

Naw, no need

Answer 12

Just use graph

Answer 13

is this calculus or just algebra?

Answer 14

algebra

Answer 15

sorry, my bad

Answer 16

It would be annoying to equate them as well haha

Answer 17

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)

Answer 18

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

Answer 19

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

Answer 20

this is not working out @astrophycsics

Answer 21

thx to the person that gave me the metal

Answer 22

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