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

2.54 centimeters
2.54 centimeters

91.44 centimeters
91.44 centimeters

3 centimeters

1 answer

To find the number of centimeters in 1 inch from the relationship \( 6y = 15.24x \), we can set \( x = 1 \) inch and solve for \( y \).

Starting with the equation:

\[ 6y = 15.24x \]

Substituting \( x = 1 \):

\[ 6y = 15.24(1) \]

This simplifies to:

\[ 6y = 15.24 \]

Now, divide both sides by 6 to solve for \( y \):

\[ y = \frac{15.24}{6} = 2.54 \]

Thus, the number of centimeters in 1 inch is:

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