For a rectangular garden with a fixed area, the length of the garden varies...

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...inversely with the width.? For a rectangular garden with a fixed area, the length of the garden varies inversely with the width. Which equation represents this situation for an area of 36 square units.

1)x + y = 36
2)x - y = 36
3)y = 36/x
4)y = 36x
 
For a rectangular garden with a fixed area, the length of the garden varies inversely with the width. Which equation represents this situation for an area of 36 square units.

1)x + y = 36
2)x - y = 36
3)y = 36/x ....................... correct answer
4)y = 36x
 
3) as area is width by lenght xy = area
so y = 36/x

INVERSELY means as one gets bigger, one gets smaller. so if y gets bigger, x needs to get smaller t compensate for constant area.
 
The answer is 3)

xy = 36

You get the area of a rectangle by multiply length and width. And in this case, the length and the width vary inversely.
 
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