Which function family would be used to solve the following question?

Sheldon is cleaning out the closet in his spare bedroom. He has been able to decrease the number of items in the closet by half each month. If he started with 224 items in the closet, how many items will be in the closet after 2 months?
A.
Exponential Function Family
B.
Linear Function Family
C.
Logarithmic Function Family
D.
Absolute Value Function Family
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Option C: Logarithmic Function Family

The items present in the closet after being logarithmically reduced for 2 months is 56. Option C is correct.

Solution:

Given that, Sheldon is cleaning out the closet in his spare bedroom.  

He has been able to decrease the number of items in the closet by half each month.  

If he started with 224 items in the closet, how many items will be in the closet after 2 months?

Now, after 1st month, he will have [tex]\frac{224}{2}[/tex] = 112 items, and after 2nd month, he will have [tex]\frac{112}{2}[/tex] = 56 items.

And, the values have been decreased logarithmically  

Hence, the items present after being logarithmically reduced for 2 months is 56. Option C is correct.