If y varies directly with x, and y = 6 when x = 20, how do you write the direct linear variation equation?

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Answer 1 · 2015-12-28T22:05:15

#y=3/10x#

#y# varies directly with #x#

We can write an equality by introducing a constant
which I will call #k#

#y=kx#

We are given that when #x=20#, #y=6#

Plugging in and solving for #k#

#6=k(20)#

#k=6/20=3/10#

Therefore

#y=3/10x#