Which function represents exponential decay?

D

Step-by-step explanation:

Exponential decay occurs when the base is less than 1 but greater than 0.

3/2 = 1.5 and is greater than 1.

-3/2 is not greater than 0 and is not exponential

-2/3 is not greater than 0 and is not exponential

2/3 is less than 1 and greater than 0. This is decay.

Option: D is the correct answer.

         D)  

We know that a exponential function is in general represented by:

where a>0 and b is called the base of the function and x is the exponent.

and if b>1 then the function is a exponential growth function

and 0<b<1 then the function is a exponential decay function.

A)

This is a exponential growth function.

Since,

B)

This is not a exponential function because b is not strictly greater than zero.

C)

This is also not a exponential function because b is not strictly greater than zero.

D)

This is a exponential decay function.

Because it fulfills the condition of the exponential decay function.

Since,

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above