Ordered pair is from an inverse variation: (3,1/3) how do I find the constant of variation?
looks like
y = (1/3)x , so you might call 1/3 as the constant of variation.
To find the constant of variation in an inverse variation, you can follow these steps:
Step 1: Write down the formula for inverse variation.
In an inverse variation, the relationship between two variables, let's say x and y, can be represented as y = k/x, where k is the constant of variation.
Step 2: Substitute the given values into the equation.
In this particular case, you are given an ordered pair (3, 1/3). Plug in the values into the equation, and it becomes:
1/3 = k/3
Step 3: Solve for the constant of variation.
To solve for k, you need to isolate the variable by cross-multiplying:
1/3 * 3 = k
1 = k
Step 4: Determine the constant of variation.
From the previous step, the constant of variation is k = 1.
Therefore, the constant of variation for this inverse variation is 1.