Question

The number of people contacted at each level of a phone tree can be represented by f(x) = 3x, where x represents the level.

What is x when f(x) = 27?

Answer 1

Option B is correct

x= 3, At level 3, 27 number of people contacted

Explanation:

As per the given statement:

The number of people contacted at each level of a phone tree can be represented by:

`f(x) = 3^x`

where, x represents the level.

We have to find the value of x when f(x) = 27.

⇒27 = 3^x

We can write 27 as:

`27 = 3 * 3 * 3 = 3^3`

then;

`3^3 = 3^x`

on comparing we have;

3 = x

or

x = 3

Therefore, the value of x is, 3.