Question

The population f(x), in millions, of State A of a country after x years is represented by the function shown below:

Answer 1

\[f(x)=2(1.08)^{t}\]
The graph shows the population g(x), in millions, of State B of the country after x years:

Answer 2

Which conclusion is correct about the population of State A and State B?
(A) The original population of State B was half of the original population of State A.
(B) The original population of State A was half of the original population of State B.
(C) The original population of State A was equal to the original population of State B.
(D) The original population of State B was one-fourth of the original population of State A.

Answer 3

@cwrw238 @hartnn @Zarkon @iambatman @ganeshie8 I need help with this. Please explain this problem to me.

Answer 4

I think you have to graph the function of State A and then compare the graphs.

Answer 5

Doing in my head, the function of f(x) = g(x)'s graph making letter C the correct answer.

Answer 6

I don't think C could be the answer.

Answer 7

\[f(x) = 2(1.08)^{t}\] Say 0 years has passed, t = 0
\[f(x) = 2(1.08)^{0}= 2(1)=2\]

Answer 8

f(x) graph, (x, y) = 0, 2
g(x) graph (x, y) = 0, 2

Just to be sure, Imma get somebody @Directrix

Answer 9

\[f(x)=2(1.08)^{t}\]

Answer 10

is equal to \[f(x)= 2(1)^{0.08t}\]

Answer 11

@iGreen @paki I really need help on this.

Answer 12

@pooja195 can u help me plz?

Answer 13

@hartnn

Answer 14

yes
original population of both states = 2
they are equal :)

Answer 15

Can you explain? I dont really understand it tho. @Sadworld said that it was C also.

Answer 16

original population means population at t=0
for sate A , when t = 0
\(2 (1.08)^0 = 2\)
because anything^0 =1 (except 0)

Answer 17

for state B, its the y intercept,
the point at which graph cuts y axis
which is clearly 2
:)

Answer 18

Ohhhh, ok. Thank you so much @Sadworld @hartnn @pooja195!! :)

Answer 19

thanks @pooja195 :)

Answer 20

lol i didnt do anything but your welcome

Answer 21

@hartnn yr welcome :)