In the table below, y varies inversely with x. What is the equation that best describes the relationship?
x 4 3 2
y 6 8 12
To find the relationship between x and y, we can use the formula for inverse variation: y = k/x, where k is the constant of variation.
To find k, we can use one of the given data points. Let's use the first one: x = 4 and y = 6.
Plugging these values into the formula, we get:
6 = k/4
To solve for k, we can multiply both sides of the equation by 4:
24 = k
Now that we have the value of k, we can write the equation that best describes the relationship:
y = 24/x