Question

Elena bought six guppies at the beginning of the month. One month later, the number of guppies in her
tank had doubled. Her guppy population continued to grow in this same manner. (16 pts.)
a. Create a function 9 to model the growth of the Elena's guppy population, where g(n) is the number
of guppies at the beginning of each month and n is the number of months that have passed since
she bought the six guppies.
g(n) =
(2 pts.)

Answer 1

The growth of the number of guppies is modeled by an exponential function

The function that models the number of guppies is $g(n) =6(2)^n$

How to model the function

The initial number of guppies is:

a = 6

The rate of growth of the guppies is:

r = 2

An exponential function is represented as:

$g(n) =ar^n$

So, we have:

$g(n) =6(2)^n$

Hence, the function that models the number of guppies is $g(n) =6(2)^n$

Read more about exponential functions at:

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