Question

suppose that y is inversely proportional to x.
find the constant of proportionality k if y = 5 when x = 8.
k = \boxed{}

Explanation:

Step1: Recall inverse proportion formula

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

Step2: Substitute given values

Substitute $y=5$ and $x=8$ into the formula:
$5 = \frac{k}{8}$

Step3: Solve for $k$

Multiply both sides by 8 to isolate $k$:
$k = 5 \times 8$

Answer:

40