Question

The number of players of an online game triples each week. The function f(x) = 3^x represents the number of players in week x. When are there 81 players?

A. Week 4
B. Week 9
C. Week 27
D. Week 3​

Answer 1

week 27 dived 81 by 3 and you get your answer.

Answer 2

There are 81 players in Week 4. Hence, the correct answer is A. Week 4.

Determining when there will be 81 players

The function

`f(x)=3^x` represents the number of players in week

We need to find when there are 81 players.

81 can be expressed as a power of 3:

81 =
`3^4` .

This means that when x = 4, the number of players, according to the function, is 81.

Therefore, there are 81 players in Week 4. Hence, the correct answer is A. Week 4.