Question

Scientists released 6 ferrets into a new habitat in year 0. Each year, there were 3 times as many ferrets as the year before. How many ferrets were there after x years? Write a function to represent this scenario.

Answer 1

ANSWER

EXPLANATION;

Given that

The intial value of the ferrets is 6

The increase rate is 3

Follow the steps below

Recall, that the standard form of an exponential function is given below

$\text{ y = ab}^x$

Where

a = initial value

b = ratio

$\begin{gathered} \text{ y = 6 \lparen3\rparen}^x \\ \text{ let y = f\lparen x\rparen} \\ \text{ So,} \\ \text{ f\lparen x\rparen= 6 \lparen3\rparen}^x \end{gathered}$

Therefore, the correct answer is 6 (3)^x