To find the constant of variation, we can use the formula for direct variation, which states that y varies directly as x can be represented as y = kx, where k is the constant of variation.
Given that y = 32 when x = 4, we can substitute these values into the equation:
32 = k * 4
To find k, we can solve for it by dividing both sides of the equation by 4:
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Step-by-step explanation:
To find the constant of variation, we can use the formula for direct variation, which states that y varies directly as x can be represented as y = kx, where k is the constant of variation.
Given that y = 32 when x = 4, we can substitute these values into the equation:
32 = k * 4
To find k, we can solve for it by dividing both sides of the equation by 4:
k = 32 / 4
k = 8
Therefore, the constant of variation is 8.
So, the correct answer is:
a. 8