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

1 answer

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

We can rearrange the equation as follows:

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

  2. Substitute \( x = 1 \): \[ y = \frac{15.24}{6}(1) \]

  3. Calculate \( \frac{15.24}{6} \): \[ \frac{15.24}{6} = 2.54 \]

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

So the answer is 2.54 centimeters.