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

0.39 centimeters
0.39 centimeters

3 centimeters
3 centimeters

91.44 centimeters
91.44 centimeters

2.54 centimeters
2.54 centimeters

Answer 1

To find the number of centimeters in 1 inch, we can use the proportional relationship given in the equation \( 6y = 15.24x \).

Here, we can interpret:

• \( y \) as the number of centimeters
• \( x \) as the number of inches

We are given the relationship at \( x = 6 \) and \( y = 15.24 \).

To find the value of \( y \) (centimeters) when \( x = 1 \) (inch):

1. Start with the relationship: \[ 6y = 15.24x \]

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

3. Simplify: \[ 6y = 15.24 \]

4. Solve for \( y \): \[ y = \frac{15.24}{6} \]

5. Calculate: \[ y = 2.54 \]

So, the number of centimeters in 1 inch is 2.54 centimeters.

The correct response from the options provided is: 2.54 centimeters.