If x varies inversely with y and x = 8 when y = 10, how do you find y when x = 6?

Question

10936 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-16T18:10:41

#y = 40/3 or 13 1/3#

This is an example of inverse proportion, or inverse variation.

To change a proportion into an equation, multiply by a constant and then use the values given to find the value of the constant.
#y prop 1/x#

#y = k/x rArr k = xy#

#k= 8 xx 10 = 80#

So, # y = (80)/x#

When #x = 6, " " y = (80)/(6)#

#y = 40/3 or 13 1/3#