The proportional relationship 15.24 centimeters in 6 inches is represented by 6y=15.24x. Determine the number of centimeters in 1 inch.(1 point)

Question

Responses

3 centimeters
3 centimeters

91.44 centimeters
91.44 centimeters

0.39 centimeters
0.39 centimeters

2.54 centimeters

Answer 1

To find the number of centimeters in 1 inch based on the proportional relationship given, we can analyze the equation provided:

\[ 6y = 15.24x \]

Here, \(y\) represents the number of centimeters in 1 inch, and \(x\) represents the number of inches. To isolate \(y\) when \(x = 1\):

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

2. 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 answer is: 2.54 centimeters.