The direct variation equation for x and y is y = k x.
The required value of y is 18 when the value of x is 12.
What is direct variation?
The definition of direct variation is the relationship between two variables when one is a fixed multiple of the other.
Given that,
Y directly varies as x.
And the value of y is 12 when value of x is 8.
According to given condition,
y directly varies as x, let y is k times multiple of x.
Implies that,
y = k . x (1)
Substitute, x = 8 and y = 12 in equation (1),
12 = k × 8
k = 12 / 8
k = 3 / 2
To find the value of y when x = 12,
Substitute values k = 3/2 and x = 12 in equation (1),
y = 3/2 × 12
y = 18
The value of y is 18 when the value of x is 12.
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