Question

-y varies inversely with x. When y = 9.6, x = 12. What is the value of k, the constant of inverse variation?

Answer 1

Question 1:

For this case we have an equation of the form:

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

Where,

• k: inverse variation constant.

Then, substituting values we have:

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

From here, we clear the value of k.

We have then:

$k = 9.6 * 12\\k = 115.2$

Answer:

the constant of inverse variation is:

$k = 115.2$

Question 2:

For this case we have:

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

Where,

• k: constant of variation.

Then, substituting the value of the constant we have:

$y =\frac {5.6} {x}$

We now substitute the value of x:

$y = \frac {5.6} {4}\\y = 1.4$

Answer:

 the value of y when x = 4 is: $y = 1.4$