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Writing A farmer recently sold a large plot of land. The sale decreased his total acreage by 4%. Let w be the original acreage. Find two equivalent expressions that will give the new acreage. Use pencil and paper. Use the expressions to describe two ways to find the new acreage. Which two expressions will give the new acreage? A. W-0.04w B. 4w C. 0.96w-0.04w D. W-4w E. 0.04w F. 0.96w

Answer :

Step 1

W = represents the original acreage.

The decrease percentage (4%) , which give:

[tex]\begin{gathered} \frac{4}{100}\times\text{ W} \\ \frac{4}{100}\times\frac{W}{1}\text{ = }\frac{4W}{100}\text{ = 0.04W} \\ \end{gathered}[/tex]

New acreage becomes: W - 0.04W = 0.96W

Therefore the answers are (A) W - 0.04W and (F) 0.96W

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