Question

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

Answer 1

Answer above is correct I just took the test

Explanation:

Answer 2

Given function :
`f(x) = 30(1.03)^(3x)`.

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

`30(1.03)^(3x)` could be written as
`30(1.03^3)^(x)`.

`1.03^3=1.092727`

So, we can round 1.092727 to 1.0927.

Replacing 1.03^3 by 1.0927 in
`30(1.03^3)^(x)`, we get

`f(x) = 30(1.0927)^(x)`.

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