suppose that y varies inversely with x and y=2 when x=6 What is the equation for the inverse variation
The equation for inverse variation is y = k/x, where k is the constant of variation.
To find k, we can use the given values:
y = k/x
2 = k/6
Solving for k:
2 * 6 = k
k = 12
So the equation for inverse variation is:
y = 12/x
In an inverse variation, the equation can be expressed as:
y = k/x
where k is the constant of variation. To determine the value of k, we can substitute the given values of x and y into the equation.
Given that y = 2 when x = 6, we can substitute these values into the equation:
2 = k/6
To find the value of k, we can solve for it by multiplying both sides of the equation by 6:
2 * 6 = k
12 = k
Therefore, the equation for the inverse variation is:
y = 12/x