Questions: Direct and Inverse Variation Question 6, 3.7.C3 Choose the formula that expresses the described relationship. R varies inversely as j. Choose the correct formula. A. j=kR B. R=k/j C. R=kjz D. R=k j

Direct and Inverse Variation Question 6, 3.7.C3 Choose the formula that expresses the described relationship. R varies inversely as j. Choose the correct formula. A. j=kR B. R=k/j C. R=kjz D. R=k j
Transcript text: S7: Direct and Inverse Variation Question 6, 3.7.C3 Choose the formula that expresses the described relationship. $R$ varies inversely as $j$. Choose the correct formula. A. $\mathrm{j}=\mathrm{kR}$ B. $R=\frac{k}{j}$ C. $\mathrm{R}=\mathrm{kjz}$ D. $R=k j$
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Solution

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Solution Steps

To solve this problem, we need to identify the correct formula that represents an inverse variation relationship. Inverse variation means that as one variable increases, the other decreases, and their product is a constant. The formula for inverse variation is typically expressed as \( R = \frac{k}{j} \), where \( k \) is a constant.

Step 1: Identify the Relationship

The problem states that \( R \) varies inversely as \( j \). This means that the relationship can be expressed mathematically as \( R = \frac{k}{j} \), where \( k \) is a constant.

Step 2: Calculate \( R \)

Using the values \( k = 1 \) and \( j = 2 \), we can substitute these into the formula: \[ R = \frac{1}{2} \]

Final Answer

The correct formula that expresses the relationship is \( R = \frac{k}{j} \), and for the given values, we find that \( R = 0.5 \). Thus, the answer is: \[ \boxed{R = 0.5} \]

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