Question

Which of the following is a function equivalent to f(x) = 5(1.9)3x?

A. f(x) = 34.29x
B. f(x) = 5(6.86x)
C. f(x) = 5(6.86)x
D. f(x) = 328.51x

Answer 1

Answer: C. f(x) = 5(6.86)^x

Explanation:

Let's start by calculating the function: f(x) = 5(1.9)^3x

Take 1.9 to the third power: f(x) = 5(1.9)^3x = 5(6.859)^x

Round up to the nearest hundredth: f(x) = 5(6.86)^x

C - f(x) = 5(6.86)^x is the answer

Also I got it right on the test

Proof: The points earned means its correct :))

Answer 2

The correct option is C.

Explanation:

The given function is

`f(x)=5(1.9)^(3x)`

Using the properties of exponent.

`f(x)=5((1.9)^3)^(x)`
`[\because (x^m)^n=x^(mn)]`

`f(x)=5(6.859)^(x)`
`[\because (1.9)^3=6.859]`

`f(x)=5(6.86)^(x)`

The function
`f(x)=5(6.86)^(x)` is equivalent to the given function.

Therefore the correct option is C.