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?

Respuesta :

Answer:

[tex]900\times 3^m[/tex] = 100

Step-by-step explanation:

The number of visitors is modeled by the expression [tex]900\times 3^m[/tex]

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,

[tex]900\times 3^m=900\times 3^{-2}\\\\=900\times \dfrac{1}{3^2}\\\\=900\times \dfrac{1}{9}\\\\=100[/tex]

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