To find the number of centimeters in 1 inch using the equation \(6y = 15.24x\), we can rearrange the equation to solve for \(y\) when \(x = 1\).
The equation represents a proportional relationship where \(y\) is the number of centimeters for \(x\) inches. Plugging in \(x = 1\):
\[ 6y = 15.24(1) \]
This simplifies to:
\[ 6y = 15.24 \]
Now, divide both sides by 6 to solve for \(y\):
\[ y = \frac{15.24}{6} = 2.54 \]
Thus, there are 2.54 centimeters in 1 inch. The correct response is:
2.54 centimeters.