Question

part 1 of 3
suppose that y is inversely proportional to x.
find the constant of proportionality k if y = 5 when x = 8.
k = 40
part 2 of 3
using the k from above write the variation equation in terms of x.
y =

Explanation:

Step1: Recall inverse proportion formula

If $y$ is inversely proportional to $x$, the relationship is $y = \frac{k}{x}$, where $k$ is the constant of proportionality.

Step2: Substitute known $k$ value

We found $k=40$ in Part 1, so substitute this into the formula.
$y = \frac{40}{x}$

Answer:

$\frac{40}{x}$