To determine the number of centimeters in 1 inch from the relationship given in the equation \(6y = 15.24x\), you can rearrange the equation to solve for \(y\) (which represents the number of centimeters in 1 inch) when \(x = 1\).
Starting with the original equation:
\[ 6y = 15.24x \]
If we let \(x = 1\):
\[ 6y = 15.24(1) \]
This simplifies to:
\[ 6y = 15.24 \]
Now, solve for \(y\):
\[ y = \frac{15.24}{6} \]
Calculating that:
\[ y = 2.54 \]
Thus, the number of centimeters in 1 inch is 2.54 centimeters.
Therefore, the correct response is 2.54 centimeters.