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Write an equation describing the relationship of the given variables. y varies directly as the square root of x. When x=16 then y=4. Find y when x=36.The value for y is:Answer

Write an equation describing the relationship of the given variables. y varies directly-example-1

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ANSWER:

6

Explanation:

Given:

When x = 16, y = 4

We know that it varies directly with the square root of x, so we can state the following:


y=k\cdot\sqrt[]{x}

We substitute and calculate k, just like this:


\begin{gathered} 4=k\sqrt[]{16} \\ k=\frac{4}{\sqrt[]{16}} \\ k=(4)/(4)=1 \\ \text{ Therefore, the function is} \\ y=\sqrt[]{x} \end{gathered}

Now, we calculate the value of y when x = 16 substituting in the function obtained, just like this:


\begin{gathered} y=\sqrt[]{36} \\ y=6 \end{gathered}

The value of y is 6

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