SOLUTION: What is the value of k for the inverse variation function where y is equal to 13 and your x value is 39? I have no clue in whats going on.

Algebra ->  Inverses -> SOLUTION: What is the value of k for the inverse variation function where y is equal to 13 and your x value is 39? I have no clue in whats going on.      Log On


   

Question 1060080: What is the value of k for the inverse variation function where y is equal to 13 and your x value is 39?
I have no clue in whats going on.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The inverse variation would be:
+y+=+k%2A%28+1%2Fx%29+
Then they say:
+x+=+39+
+y+=+13+
------------------
+13+=+k%2A%28+1%2F39+%29+
Multiply both sides by +39+
+k+=+13%2A39+
+k+=+507+
-----------------
By the logic of an inverse variation, if I
double +x+ , then +y+ should be +1%2F2+
of what it was before
-----------------------
I'll say +x+=+78+ ( twice +39+ )
Then
+y+=+k%2A%28+1%2F78+%29+
+y+=+507%2A%281%2F78%29+
+y+=+6.5+ ( which is half of what it was, +13+ )
------------------------
Hope this makes some kind of sense