For a few months, the function f (x) = 15 (3) ^x represented the number of bees in a new hive x months from the time it was started. How did the number of bees change each month?

For this case we have a function of the form:

y = A (b) ^ x

Where,

A: initial amount

b: growth rate

x: time (in months)

We have the following equation:

f (x) = 15 (3) ^ x

We observed that:

b = 3

Therefore, the number of bees triples each month.

Answer:

b = 3

the number of bees triples each month.