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Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width? Explain your answer and the steps you have taken to obtain it.

1 Answer

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Step 1: Use the equation y =
(k)/(s) in solving inverse variation problems
y =
(k)/(s) ⇒ w =
(k)/(l)

w = width
l = length
k = area

Step 2. Find the value of k by substituting the given information, where:
w = 60 yd
l = 75 yd

60 =
(k)/(75)
k = 4500 yd²

Step 3. Rewrite the standard equation by substituting the value of
k = 4500 yd²

w =
(4500)/(l)

Step 4. Substitute l = 72 yd to find the width of the second field
w =
(4500)/(72)
w = 62.5 yd

User Art Spasky
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