The value of y varies directly with x. If x=10, then y=6. what is k
To determine the constant of variation, k, we can use the formula for direct variation, which states that y = kx.
Given that x = 10 and y = 6, we can substitute these values into the formula and solve for k:
6 = k * 10
Dividing both sides of the equation by 10:
6/10 = k
Simplifying the fraction:
3/5 = k
Therefore, the constant of variation, k, is equal to 3/5.
In a direct variation, the relationship between two variables can be defined by the equation y = kx, where k is the constant of variation.
Given that y varies directly with x, and when x = 10, y = 6, we can substitute these values into the equation to solve for k.
Substituting x = 10 and y = 6 into y = kx:
6 = k * 10
To isolate k, divide both sides of the equation by 10:
6/10 = k
Simplifying the right-hand side:
0.6 = k
Therefore, the value of k is 0.6.
To find the value of the constant of proportionality, k, in a direct variation equation, we can use the given information.
In a direct variation equation, we have the general form y = kx, where k represents the constant of proportionality. This means that as x increases or decreases, y also increases or decreases in direct proportion.
Given that when x = 10, y = 6, we can plug these values into the equation to solve for k.
6 = k * 10
To find k, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 10.
6/10 = k
Simplifying the fraction on the left side gives us:
0.6 = k
So, the value of k is 0.6.