Question

A function is shown below: f(x) = (1.93)x What does the function represent? (5 points) Select one: a. Exponential growth of 7% b. Exponential decay of 7% c. Exponential growth of 93% d. Exponential decay of 93%

Answer 1

Exponential growth of 93%

Explanation:

f(x) = 1.93^x = (1 + 0.93)^x

Answer 2

Answer: c. Exponential growth of 93%

Explanation:

The exponential growth equation is given by :-

`f(x)=A(1+r)^x`, where A is initial value , r is rate of growth and x is time period.

The given function:
`f(x)=(1.93)^x`

When , we compare this to the general form of exponential growth equation, we see

`A=1\\\text{And }1+r=1.93\\\\\Rightarrow\ r=0.93=93%`

Hence, the function represents an exponential growth of 93 %.