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 exponential function g of x that curves up from left to right and goes through points 0 comma 2 and 9 comma 4

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

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

Answer 1

remember the general format for an exponential growth equation

f(x) = a(b)^x

a is the original population, b is the growth rate

compare this to f(x) = 4(1.08)^x to determine the initial population of A

now, for the graph, to find the initial populationof B, simply look at the y-intercept (the value of y when x = 0)