Concept explainers
Find the condition of the inverse variation.
Answer to Problem 23GR
Explanation of Solution
Given:
Inverting a cup or glass means changing its orientation to the opposite direction. If positive values x and y are related by an inverse variation, do you think they increase and decrease together? Or do they move in opposite directions, one decreasing as the other increases?
Concept Used:
Inverse Variation The statement " y varies inversely as x means that when x increases, y decreases by the same factor. In other words, the expression
For inverse variation, use the equation
The expression
If x and y both are positive, then one will increase and other will definitely decrease, because for inverse variation their product is always constant.
If for x and y , one is positive and other is negative , then according to the number line they move in opposite directions, one decreasing as the other increases but their product should always be constant.
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