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.

Respuesta :

Step 1: Use the equation y = [tex] \frac{k}{s} [/tex] in solving inverse variation problems
        y = [tex] \frac{k}{s} [/tex] ⇒   w = [tex] \frac{k}{l} [/tex]

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 = [tex] \frac{k}{75} [/tex]
k = 4500 yd²

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

w = [tex] \frac{4500}{l} [/tex]

Step 4. Substitute l = 72 yd to find the width of the second field
w = [tex] \frac{4500}{72} [/tex]
w = 62.5 yd