Question

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

f(x) = 4(1.08)x

The graph shows the population g(x), in millions, of State B of the country after x years:

Graph of function g of x equals 2 multiplied by 1.08 to the power of x

Which conclusion is correct about the population of State A and State B?

The original population of State A was double of the original population of State B.
The original population of State B was double of the original population of State A.
The original population of State A was four times of the original population of State B.
The original population of State A was equal to the original population of State B.

Answer 1

\[f(x) = 4(1.08)^{x} \]
\[g(x) = 2(1.08)^{x} \]

Answer 2

What do you think the answer is?

Answer 3

a?

Answer 4

Lets do the math.

Answer 5

x represents the time, in years. So 1 would mean the population after 1 year, and so on. If we input 0, we will get the populations with no time having passed.

\[f(x) = 4(1.08)^{0}\]

Any number raised to the power of 0 is 1.

\[f(x) = 4(1) = 4\]

\[g(x) = 2(1.08)^{0}\]

\[g(x) = 2(1) = 2\]

Answer 6

So what can you confidently say is the answer now?

Answer 7

A!

Answer 8

Correct :)

Answer 9

thank you!

Answer 10

No problem