To find the number of centimeters in 1 inch using the equation \(6y = 15.24x\), we can interpret the variables as follows:
- \(y\) represents the number of centimeters per inch,
- \(x\) represents the number of inches.
Given the relationship \(6y = 15.24x\), we can plug in \(x = 1\) to find \(y\) associated with 1 inch:
\[ 6y = 15.24(1) \] \[ 6y = 15.24 \] Now, we can solve for \(y\): \[ y = \frac{15.24}{6} \] Calculating this gives: \[ y = 2.54 \]
Thus, the number of centimeters in 1 inch is 2.54 centimeters.
So the correct answer is: 2.54 centimeters.