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The statement ” y varies inversely as x means that when x increases,y decreases by the same factor. In other words, the expression xy is constant:
In a factory,men can do the job in days. How many days it will take if men do the same job?
Here, when the man power increases, they will need less thandays to complete the same job. So, this is an inverse variation.
The statement ” y varies directly as x ,” means that when x increases,y increases by the same factor. In other words, y and x always have the same ratio:
If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3. If I buy 10 gallons, the price is $30. In this example the total cost of milk and the number of gallons purchased are subject to direct variation — the ratio of the cost to the number of gallons is always 3.
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