Question

The proportional relationship 15.24 centimeters in 6 inches is represented by 6y = 15.24x. Determine the number of centimeters in 1 inch.
A. 2.54 centimeters
B. 3 centimeters
C. 0.39 centimeters
D. 91.44 centimeters

Answer 1

are you sure this is correct

Answer 2

To determine the number of centimeters in 1 inch from the equation given, we can start by rewriting the equation.

The equation provided is:

\[ 6y = 15.24x \]

Here, \(y\) represents the number of centimeters and \(x\) represents the number of inches. To find the constant ratio (the number of centimeters in 1 inch), we can solve for \(y\) when \(x = 1\):

1. Substitute \(x = 1\):

\[
6y = 15.24(1)
\]

\[
6y = 15.24
\]

2. Now, solve for \(y\):

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

3. Calculating this gives:

\[
y = 2.54
\]

Thus, the number of centimeters in 1 inch is:

**A. 2.54 centimeters**

Answer 3

Yes, the calculation is correct. Let’s go through it step by step again for clarity.

The initial equation given is:

\[ 6y = 15.24x \]

Where:
- \(y\) is the number of centimeters,
- \(x\) is the number of inches.

To find out how many centimeters are in 1 inch, we set \(x = 1\):

1. Substitute \(x = 1\) into the equation:

\[
6y = 15.24(1)
\]

This simplifies to:

\[
6y = 15.24
\]

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

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

Calculating this gives:

\[
y = 2.54
\]

So, indeed, the conclusion is that there are **2.54 centimeters in 1 inch**. Therefore, the answer is:

**A. 2.54 centimeters**.