To determine the number of centimeters in 1 inch based on the given proportional relationship of 15.24 centimeters in 6 inches, we can start by simplifying the equation you provided:
The relationship given is \( 6y = 15.24x \). Here, we can assume that:
- \( x \) represents the number of inches,
- \( y \) represents the number of centimeters.
You want to find the value of \( y \) when \( x = 1 \) inch.
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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, solve for \( y \): \[ y = \frac{15.24}{6} \] \[ y = 2.54 \]
Thus, the number of centimeters in 1 inch is 2.54 centimeters.
Therefore, the correct response is:
2.54 centimeters.