Suppose x varies inversely with y. If X = 10 when y = 5 how do you find x when y = 14?

1 Answer
Jun 28, 2016

Answer:

Construct a variation equation and solve for #x# to get #x=25/7#.

Explanation:

When we say "#x# varies inversely with #y#", we mean that when #x# increases, #y# decreases, and vice versa. Mathematically, this is expressed as:
#y=k/x#
Where #k# is referred to as the constant of variation.

We are told #x=10# when #y=5#, so:
#5=k/10#
#->10*5=k->50=k#

Our equation is:
#y=50/x#

If #y=14#, then
#14=50/x#
#->x=50/14=25/7#