Write a direct or inverse variation equation for each relation. X:3,4,8. Y:24,18,9.

Answer 1

We can observe that as X increases, Y decreases. Therefore, this is an inverse variation.

To find the equation, we can use the formula:

𝑘=𝑥𝑦

where k is the constant of variation.

Let's use the first two values of X and Y to find k:

𝑘=3×24=72

Now we can write the inverse variation equation:

𝑘=𝑥𝑦

72=𝑥𝑦

𝑦=72/𝑥

So the inverse variation equation for this relation is: 𝑦=72/𝑥