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Given y varies directly with x, write the equation that relates x and y. find k first

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Problem:

given y varies directly with x, write the equation that relates x and y. find k first​

x = 1/6 , y = 1

Solution.

A proportional relationship between two variables x and y is given by:

y = kx

where k is the proportionality constant.

Now, if x = 1/6 and y = 1 replacing these values in the previous equation we obtain:


1\text{ = k}(1)/(6)

solving for k:


k\text{ = 6}

then, we can conclude that the equation that relates x and y is:


y\text{ = 6x}

User Chris Sidi
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