Answer:
The choices that follow an exponential pattern is:
A. Division of skin cells every half hour.
C. [tex]y=4\cdot 3^x[/tex]
Step-by-step explanation:
We know that an exponential function is one which gradually increases or decreases by a constant rate.
A)
Division of skin cells every half hour.
It will determine a exponential pattern since it could be represented in the form of:
[tex]y=ab^x[/tex]
where a is the initial amount of skin cells and also the number of skin cells decreases by a constant rate in every half hour.
Hence, option: A is correct.
B)
[tex]y=x^2[/tex]
It is not a exponential function.
It is a quadratic function.
Hence, option: B is incorrect.
C)
[tex]y=4\cdot 3^x[/tex]
It is a exponential function.
Since it is represented in the form of:
[tex]y=ab^x[/tex]
Hence, option: C is correct.
D)
From the given table we could see that this represent a linear function and not exponential since the values are increasing by a fixed rate i.e. 3
Hence, option: d is incorrect.
E)
You are driving at a constant rate of 55 mph.
This situation will represent a linear function or we may say a constant function.
Hence, option: e is incorrect.
F)
[tex]y=2x^3[/tex]
It represent a cubic function and not exponential.
Hence, option: F is incorrect.
