Question

Jane moved from a house with 44 square feet of closet space to an apartment with 22.44 square feet of closet space. What is the percentage decrease of Jane's closet space? A. 51% B. 39% C. 96% D. 49%

Answer 1

`Rel. Change = (|Final -Initial|)/(Initial)`

For this case our initial value would be 44 ft^2 and the final value 22.44 ft^2 and replacing we got:

`Rel. Change = (|22.44-44|)/(44) = 0.49`

And if we convert this into % we got
`0.49*100= 49\%`

So then the correct answer would be:

D. 49%

Explanation:

For this case we can calculate the % of decrease using the relative change formula given by:

`Rel. Change = (|Final -Initial|)/(Initial)`

For this case our initial value would be 44 ft^2 and the final value 22.44 ft^2 and replacing we got:

`Rel. Change = (|22.44-44|)/(44) = 0.49`

And if we convert this into % we got
`0.49*100= 49\%`

So then the correct answer would be:

D. 49%

Answer 2

The percentage decrease is 49% (option D)

Explanation:

Percentage decrease simply refers to the decrease or decrement from one value to another in terms of the percentage of the initial quantity or value. In other words, it simply means the decrease from initial amount to the final quantity with respect to hundred Port of the initial amount.

The formula for percentage decrease is:

`(decrease/decrement)/(initial quantity) *(100)/(1)`

Decrease/decrement refers to the difference between the initial and the final quantity. That is (the initial quantity or amount - final quantity).

In this case, the initial quantity = 44 square feet

Final quantity = 22.44 square feet

The decrement is therefore:

44 - 22.44

= 21.56

Percentage decrease is therefore:

`(21.56)/(44)` × 100

= 49%