Yvaries inversely with x. when y = 9.6, x = 12. what is the value of k, the constant of inverse variation?
round to the nearest tenth, if necessary.
-y varies inversely with x, and k (the constant of variation) = 5.6. what is the value of y when x = 4?
round to the nearest tenth, if necessary

Question 1:

For this case we have an equation of the form:

Where,

Then, substituting values we have:

From here, we clear the value of k.

We have then:

the constant of inverse variation is:

Question 2:

For this case we have:

Where,

Then, substituting the value of the constant we have:

We now substitute the value of x:

 the value of y when x = 4 is: