Constant of the variation?

Answer 1

Eva Abramson

Constant of variation is #3#.

Let the rate be #$x# per kilogram. Let amount of candies one can have be #y# kilogram.

For #$3# one can get #3/x# kilogram of candies. Hence #y=3/x# or #xy=3#

Hence at #0.50# per kilogram, one can get #3/0.50=6# kilogram.

When rate goes to #$1.00# per kilogram, one can get #3/1=3# kilogram

Observe that as #x# increases #y# decreases but #xy# remains constant at #3#.

Hence relation is inverse and constant of variation is #3#.

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