Question

Which of the choices below follow an exponential pattern? Select all that apply.

Answer 1

the person above me is right

Explanation:

Answer 2

The choices that follow an exponential pattern is:

A. Division of skin cells every half hour.

C.
`y=4\cdot 3^x`

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:

`y=ab^x`

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)

`y=x^2`

It is not a exponential function.

It is a quadratic function.

Hence, option: B is incorrect.

C)

`y=4\cdot 3^x`

It is a exponential function.

Since it is represented in the form of:

`y=ab^x`

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)

`y=2x^3`

It represent a cubic function and not exponential.

Hence, option: F is incorrect.