Question 242972: x varies inversely with y. When x is 40, y is 50. What is y when x is 25? Found 2 solutions by nerdybill, Edwin McCravy:Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! From:
x varies inversely with y
we have
x = k/y
.
From:
When x is 40, y is 50
we have
40 = k/50
40*50 = k
2000 = k
.
So, when x is 25
25 = 2000/y
25y = 2000
y = 80
With that information we can determine k:
Multiply both sides by 50
Now we must substitute that value
of k into
Now we have the complete equation.
Now with that complete equation we can answer
the other part:
What is y when x is 25?
Substitute 25 for x
Multiply both sides by y
Edwin