Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine whether the given equation, 6y = 15.24x, represents the proportional relationship between 15.247 centimeters and 6 inches, we need to check if the values of y and x satisfy the equation.

Let's convert 15.247 centimeters to inches. Since 1 inch is equal to 2.54 centimeters, we can use the conversion factor 1 inch = 2.54 centimeters.

15.247 centimeters ÷ 2.54 = 6 inches

So, the values of y and x are indeed representing the given relationship, where y corresponds to centimeters and x corresponds to inches.

Now we can substitute the values of y and x into the equation to verify if it holds true.

6y = 15.24x

Replacing y with 15.247 centimeters and x with 6 inches:

6(15.247) = 15.24(6)

91.482 = 91.44

The values are not exactly equal, which means the equation does not hold true for these specific values.

Therefore, the equation 6y = 15.24x does not represent the proportional relationship between 15.247 centimeters and 6 inches accurately.

Answer 3

[AI-generated answer — Explain Bot]

To determine if the given proportional relationship is represented correctly by the equation 6y = 15.24x, we need to check if the ratio between the centimeters and inches is consistent.

First, let's convert 15.247 centimeters into inches. There are 2.54 centimeters in an inch, so we can divide the centimeters by 2.54 to get the equivalent in inches:

15.247 cm ÷ 2.54 cm/inch ≈ 6 inches (rounded to the nearest whole number)

So, we have confirmed that 15.247 centimeters is indeed approximately equivalent to 6 inches.

Now let's verify if the equation 6y = 15.24x correctly represents the proportional relationship.

The equation can be rewritten as y = (15.24/6)x.

Let's substitute the value of x as 6 (inches) and solve for y:

y = (15.24/6) * 6
y ≈ 15.24

According to the equation, when x = 6, y should be approximately equal to 15.24. Since we have previously determined that 15.247 centimeters is equivalent to 6 inches, the equation 6y = 15.24x does represent the given proportional relationship correctly.

Therefore, the relation 15.247 centimeters to 6 inches is represented by the equation 6y = 15.24x.