Fill in the blanks to make a true statement.
The variables x and y are inversely proportional. If x = 1, then y = 2. And if x = 2, then y = ___.
I think 4 is not. I think that would be directly proportional.
The problem: The variables x and y are inversely proportional. If x = 1, then y = 2. And if x = 2, then y = ___.
Definition: When two variables are inversely proportional, their product is always equal to a constant.
For a colloquial visualization of the concept, consider: When x gets larger, y gets smaller.
Given that when x = 1, y = 2 This xy = 2 . . . and this xy will always equal 2.
When x changes to 2, the product xy must still equal 2, i.e., y = 2/2, so y = 1
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