The direct inverse variation is y = 3/2 x, the value of y for x = 3 is 9/2.
A direct variation is defined as having variables that are directly proportional. When one variable's value rises, the other variable's value rises as well, and vice versa. Assuming k is constant, the following is how a direct variation is expressed:
y=kx
As y varies directly with x,
using direct variation,
y = kx
given, y = 3/4 when x = 1/2,
⇒ 3/4 = k 1/2
⇒ k = 3/2
when x = 3,
the value of y will be -
y = kx
⇒ y = 3/2. 3
⇒ y = 9/2
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