If y varies inversely as x and y = 725 when x = 20, how do you find x when y is 50?

1 Answer
Jan 4, 2017

x=290 when y=50

Explanation:

When you are told that y varies inversely as x, that means that

x*y=k

where k can be any single number. If you plug in the initially given numerical values for x and y you have

20*725=14500

So your k-value becomes 14500. Now you can say that, for this particular relation

xy=14500

If you want to know your x-value when y=50, you can plug 50 in for y and solve for x.

x*50=14500

so

x=14500/50

meaning that

x=290.