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

91.44 centimeters
91.44 centimeters

3 centimeters
3 centimeters

2.54 centimeters
2.54 centimeters

0.39 centimeters

Answer 1

To find the number of centimeters in 1 inch from the proportional relationship \( 6y = 15.24x \), we can rearrange the equation:

1. Divide both sides by 6:
   \[ y = \frac{15.24}{6} x \]

2. Now, \( y \) represents the number of centimeters per inch when \( x = 1 \). Thus, we can simplify:
   \[ y = \frac{15.24}{6} \approx 2.54 \]

So, the number of centimeters in 1 inch is:

\[ \boxed{2.54} \text{ centimeters} \]