Answer:
x=12

Explanation:
If two variables x and y are directly proportional, it means they have a relationship y=kx, where k is some constant.
We know when y=-0.6, x=0.24. Let's sub this into y=kx to find k:
-0.6=0.24k
-0.6/0.24 = (0.24/0.24)k
-2.5 = k
Now we know k=2.5, we know the relaitonship between x and y is y=-2.5x. So we can find the value of x when y=-31.5 by subbing this into y=-2.5x:
y=-2.5x
-31.5=-2.5x
-31.5/-2.5 = (-2.5/-2.5)x
12.6=x
As a mixed fraction, 12.6 is equal to 12
or 12
, so our answer is:
x=12
