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) 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, we can start with the given proportional relationship:

\[ 6y = 15.24x \]

Here, \( y \) represents the number of centimeters, and \( x \) represents the number of inches. In this relationship, when \( x = 1 \) (which represents 1 inch), we can find \( y \) by solving for \( y \):

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

2. Now divide both sides by 6 to 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