Which of the following quantities are inversely proportional?
option 1: the height of a rectangular prism and the area of its base, if the volume is 56 in3
option 2: the amount of time spent plowing a field and the amount of fuel used by a tractor
option 3: the length of fabric bought for $74.50 and the price of one yard
option 4: the amount of time spent plowing a 358-acre farm and the number of identical tractors

Option 1

Option 3

Option 4

Step-by-step explanation:

Inversely proportional means "one quantity increases, the other decreases" or "one quantity decreases, other increases". Inverse relationship, that's it.

Option1:

Since the volume is given as 56 and we know the volume is area of base * height, to keep the volume at constant [56], if height increases, area of base would need to decrease, and vice verse. So inversely proportional.

Option2:

The time spend in plowing a field with a tractor will increase when we area using more fuel. So more fuel used means more time spent. So these are directly proportional, NOT inverse.

Option3:

Since the price is at constant, the amount of length we buy more, the price per one yard HAS to decrease, and vice versa. So, this is inverse relationship.

Option 4:

If the number of identical tranctors increase, it will take less time to plow the set 358 acre farm. And vice versa. So this is inversely proportional as well.

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step-by-step explanation:

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