SOLUTION: if y varies inversely as x and y =25 when x =4, find x when y is 10

Question 204298: if y varies inversely as x and y =25 when x =4, find x when y is 10
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since "y varies inversely as x" it means that where "k" is some fixed number.

Start with the given equation

Plug in x=4 and y=25

Multiply both sides by 4

Multiply

-------------------

Go back to the given equation

Plug in k=100

Now plug in y=10. The goal now is to solve for x

Multiply both sides by 'x'

Divide both sides by 10

Reduce

So when (note: this is just a coincidence).
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