Find the constant of variation if y varies directly as x, and y=17 when x=34
To find the constant of variation, we'll use the direct variation equation, which is usually represented as y = kx, where y represents the dependent variable, x represents the independent variable, and k is the constant of variation.
Given that y varies directly as x and y = 17 when x = 34, we can substitute these values into the equation:
17 = k * 34
To find the value of k, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 34:
17/34 = k
Simplifying the equation, we find:
1/2 = k
Therefore, the constant of variation is k = 1/2.
y = kx, so
17 = 34k