If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?'
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direct variation takes the form y = kx
if y = 6 and x = 72, what is k?
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6 = 72k
what is k?
need to get some sleep, @dan815 would you mind taking over? I think they've got a few more questions after this one
To find k, we need to get k by its self and we do that by dividing by 72 on each side of the equal sign.
6 = 72k
6 / 72 = 72k /72
6 / 72 = k
1 /12 = k
k = 1 /12
Now that we found k (our constant of variation ) we can solve for "what is the value of y when x is 8"
y = xk
y = 8 * (1 / 12)
y = 2/3