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) = (1.08)x

The graph shows the population g(x), in millions, of State B of the country after x years. (0,2) and (9,4).

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 B was one-fourth of the original population of State
d. The original population of State A was one-fourth of the original population of State

Answer 1

-- State-A . . . Population = 1 · (1.08)ˣ

-- State-B . . . Population = 2 · (1.08)ˣ

' x ' = number of years after the original population

At the beginning, x=0.

Any quantity raised to the zero power = 1.

At the beginning, when x=0, the original populations were

State-A = 1 · 1 = 1

State-B = 2 · 1 = 2

The original population of State A was half of

the original population of State B.

this isn't my answer but hope it helps