Question

The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 900 * 3^m​, where m is the number of months after the number of visitors was measured. Evaluate the expression for m=-2. What does the value of the expression represent in the​ situation?

Answer 1

`900* 3^m` = 100

Explanation:

The number of visitors is modeled by the expression
`900* 3^m`

Where m is the number of months after the number of visitors was measured.

We need to evaluate the above expression for m = -2.

So,

`900* 3^m=900* 3^(-2)\\\\=900* (1)/(3^2)\\\\=900* (1)/(9)\\\\=100`

At m = -2, the value of the above expression is equal to 100.