To determine the number of centimeters in 1 inch from the given proportional relationship \(6y = 15.24x\), we can set it up as follows:
- When \(x = 1\) (which represents 1 inch), then we can solve for \(y\) (which represents the number of centimeters in 1 inch).
So we can rearrange the equation to find \(y\):
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Start with the equation: \[ 6y = 15.24x \]
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Substitute \(x = 1\): \[ 6y = 15.24(1) \] \[ 6y = 15.24 \]
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Now, divide both sides by 6: \[ y = \frac{15.24}{6} \] \[ y = 2.54 \]
Therefore, \(1\) inch is equal to \(2.54\) centimeters.
The correct answer is: 2.54 centimeters.