Question

The proportional relationship 15.247 centimeters in 6 inches is represented by 6y = 15.24x.

Answer 1

To verify if the equation 6y = 15.24x represents the proportional relationship between 15.247 centimeters and 6 inches, we need to substitute the given values into the equation and check if it holds true.

Let's convert 15.247 centimeters to inches.

1 inch is equal to 2.54 centimeters, so

15.247 centimeters / 2.54 = 6 inches

Now, we can plug in the values into the equation:

6y = 15.24x

6 inches corresponds to x, so x = 6

6y = 15.24(6)

Since x = 6, the equation simplifies to:

6y = 91.44

Now, let's solve for y:

y = 91.44 / 6

y = 15.24

So when x = 6, y = 15.24. This means that the equation 6y = 15.24x does represent the proportional relationship between 15.247 centimeters and 6 inches.