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Suppose that y varies directly with x, and y = 2 when x = 16.(a) Write a direct variation equation that relates x and y.Equation: (b) Find y when x = 7.y =

User Soeholm
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ANSWER:

(a) y = x/8

(b) y = 7/8

Explanation:

Since y varies directly with x, the form of the equation would be:


y=kx

a.

we can calculate the value of k, just like this:


\begin{gathered} 2=k\cdot16 \\ k=(2)/(16) \\ k=(1)/(8) \end{gathered}

Therefore, the equation would be:


y=(1)/(8)x

b.

Now we calculate when x = 7, like this:


\begin{gathered} y=(1)/(8)\cdot7 \\ y=(7)/(8) \end{gathered}

User Xavier Sky
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