If y varies inversely with x, and y = 2 when x = 8, what is k, the constant of proportionality? a. 16 c. 8 b. 32 d. 24

The constant of proportionality, k = 16

Step-by-step explanation:

The expression "y varies inversely with x" means that y is given by the expression:

and varies inversely because as x increases its value, the values of y decreases.

Now, to find the value of k, the constant of proportionality, we have to put it in the expression:

And resolving for k, we have:

Now, we have to replace the values y=2 and x=8:

k = 8*2

k = 16