Question

for the inverse variation equation \\(xy = k\\), what is the value of \\(x\\) when \\(y = 4\\) and \\(k = 7\\)?

\\(\frac{4}{7}\\)

\\(\frac{7}{4}\\)

3

28

Explanation:

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<reasoning>

Substitute the given values into the equation

\[

$$\begin{aligned} xy &= k \\ x(4) &= 7 \end{aligned}$$

\]

Solve for x

\[

$$\begin{aligned} 4x &= 7 \\ x &= \frac{7}{4} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) \(\frac{4}{7}\)</mcq-option>
<mcq-correct>(B) \(\frac{7}{4}\)</mcq-correct>
<mcq-option>(C) 3</mcq-option>
<mcq-option>(D) 28</mcq-option>
</answer>

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Answer:

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<reasoning>

Substitute the given values into the equation

\[

$$\begin{aligned} xy &= k \\ x(4) &= 7 \end{aligned}$$

\]

Solve for x

\[

$$\begin{aligned} 4x &= 7 \\ x &= \frac{7}{4} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) \(\frac{4}{7}\)</mcq-option>
<mcq-correct>(B) \(\frac{7}{4}\)</mcq-correct>
<mcq-option>(C) 3</mcq-option>
<mcq-option>(D) 28</mcq-option>
</answer>

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