Question

A population of rabbits is growing exponentially. The function f(x) = 5(2)t models the number of rabbits after t months.

Based on the model, what is the growth factor for the population of rabbits?

Answer 1

13 months

Tell me if its right...

Answer 2

The growth factor is '2'

Explanation:

Here, the given function that represents the population of the rabbits that is increasing exponentially,

`f(x)=5(2)^t----(1)`

Since, the growth factor is a multiplier that increases the value per period,

Also, in an exponential growth function,

`y=ab^x`

b is called the growth factor where x is a variable,

Since, in function (1) t is a variable ( time in months )

By comparing, b = 2,

Hence, the growth factor is 2 for the given function.