Which of the following is an equivalent function to the function below? f(x) = 30(1.03)3x f(x) = 30(3.0900)x f(x) = 30(1.0927)x f(x) = 10(1.0927)x f(x) = 10(3.0900)x

Respuesta :

Given function : [tex]f(x) = 30(1.03)^{3x}[/tex].

We need to find the equivalent function to the given function.

[tex]30(1.03)^{3x}[/tex] could be written as [tex]30(1.03^3)^{x}[/tex].

[tex]1.03^3=1.092727[/tex]

So, we can round 1.092727 to 1.0927.

Replacing 1.03^3 by 1.0927 in [tex]30(1.03^3)^{x}[/tex], we get

[tex]f(x) = 30(1.0927)^{x}[/tex].

Therefore, f(x) = 30(1.0927)^{x} is an equivalent function to the [tex]f(x) = 30(1.03)^{3x}[/tex].


Answer:

Answer above is correct I just took the test

Step-by-step explanation: