Suppose that Y varies directly with X and Y equals 14 when X equals 49. Find the value of Y when X equals 42

The equation that would best represent the relationship of the given variables in this item is,

Y = kX

where k is the constant of proportionality.

Substituting the first set of given,

14 = k (49)

The value of k is 2/7.

Solving for the Y of the second set,

Y = (2/7) (42)

Y = 12

Answer: 12