Find the equation of direct variation, given that y varies directly with x. y is 8 when x is 4
Question
Find the equation of direct variation, given that y varies directly with x.
y is 8 when x is 4.
Solution
Sure, here are the steps to find the equation of direct variation:
Step 1: Understand the problem. The problem states that y varies directly with x. This means that y = kx for some constant k.
Step 2: Use the given values to find the constant of variation. We know that when y is 8, x is 4. So we can substitute these values into the equation to find k:
8 = k * 4
Step 3: Solve for k. Divide both sides of the equation by 4 to isolate k:
k = 8 / 4 = 2
Step 4: Write the equation of direct variation. Now that we know k, we can write the equation:
y = 2x
So, the equation of direct variation is y = 2x.
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