Question

Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.

Answer 1

Answer:

$y=\frac{96}{x}$

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: $xy=c$. This means that the function can be defined as $y=\frac{c}{x}$ by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:  $xy = 96$, which can be defined as $y=\frac{96}{x}$