3. Ken has decided to raise rabbits but has been warned that the number of rabbits he will have will double every month. Ken started out with 30 rabbits and the function y = 30 • 2x models the number of rabbits he will have after x months. Which graph represents this function? (1 point)

For this case we have a function of the form:
[tex]y = A * (b) ^ x [/tex]
Where,
A: initial amount
b: growth rate
x: time in months.
Therefore, in this problem the exponential function is:
[tex]y = 30 * (2) ^ x[/tex]
It is a growing exponential function.
Answer:
See attached image

Answer Link

ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-03-23T07:16:58+01:00

Based on the given function [tex]y = 30.2^x[/tex], a graph was plotted which is exponential in nature.

The given function is:

[tex]y = 30.2^x[/tex]

Which is an exponential function. Here, y is the number of rabbits while x is the number of months.

What is an exponential function?

A function in the form of [tex]y=ab^x[/tex] is called exponential function, where b≠1.

Initially, the number of rabbits:

put x=0 in the above equation

[tex]y = 30.2^0 =30[/tex]

This means at the (0,30) graph will intersect the y-axis.

Similarly, we can find out the number of rabbits after any time duration.

Graph that represents the above function is attached.

Thus, based on the given function [tex]y = 30.2^x[/tex], graph was plotted which is exponential in nature.

To get more about exponential function visit:

https://brainly.com/question/2456547