The proportional relationship 15.24 centimeters in 6 inches is represented by 6y=15.24x

Question

. Determine the number of centimeters in 1 inch.(1 point)
Responses

0.39 centimeters
0.39 centimeters
3 centimeters
3 centimeters
91.44 centimeters
91.44 centimeters
2.54 centimeters

Answer 1

To determine the number of centimeters in 1 inch from the proportional relationship given by the equation \(6y = 15.24x\), we can first rearrange the equation to find \(y\) when \(x = 1\).

1. Identify the Variables:

   • Let \(y\) represent the number of centimeters in 1 inch, and \(x\) represent the number of inches.

2. Substitute \(x = 1\) into the equation: \[ 6y = 15.24 \cdot 1 \] \[ 6y = 15.24 \]

3. Solve for \(y\): \[ y = \frac{15.24}{6} \] \[ y = 2.54 \]

Thus, the number of centimeters in 1 inch is 2.54 centimeters.

The correct response is: 2.54 centimeters.