Questions: If A is cut in half while B and C are held constant, the new value of X will be times the original value.

If A is cut in half while B and C are held constant, the new value of X will be times the original value.
Transcript text: If $A$ is cut in half while $B$ and $C$ are held constant, the new value of $X$ will be $\qquad$ times the original value.
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Solution

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Solution Steps

To solve this problem, we need to understand the relationship between variables \( A \), \( B \), \( C \), and \( X \). Assuming \( X \) is a function of \( A \), \( B \), and \( C \), we need to determine how halving \( A \) affects \( X \). Without a specific function provided, we can only outline a general approach. If \( X \) is directly proportional to \( A \), then halving \( A \) would halve \( X \). If \( X \) is inversely proportional to \( A \), then halving \( A \) would double \( X \). The exact relationship needs to be defined to provide a precise answer.

Step 1: Understand the Relationship

Assume that the variable \( X \) is directly proportional to \( A \), meaning \( X = k \cdot A \), where \( k \) is a constant that depends on \( B \) and \( C \).

Step 2: Modify the Variable \( A \)

Given that \( A \) is cut in half, the new value of \( A \) becomes \( \frac{A}{2} \).

Step 3: Calculate the New Value of \( X \)

Substitute the new value of \( A \) into the proportional relationship: \[ X_{\text{new}} = k \cdot \frac{A}{2} = \frac{k \cdot A}{2} = \frac{X_{\text{original}}}{2} \]

Step 4: Determine the Factor of Change

The new value of \( X \) is \( \frac{1}{2} \) times the original value of \( X \).

Final Answer

The new value of \( X \) is \(\boxed{0.5}\) times the original value.

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