The proportional relationship 15.247 centimeters in 6 inches is represented by 6y = 15.24x. Determine the number of centimeters in 1 inch.
To determine the number of centimeters in 1 inch, we need to find the value of x when y is equal to 1 and plug it into the equation.
Substituting y=1 into the equation, we have:
6(1) = 15.24x
6 = 15.24x
Dividing both sides of the equation by 15.24, we have:
x = 6/15.24
x ≈ 0.3937
Therefore, there are approximately 0.3937 centimeters in 1 inch.
To determine the number of centimeters in 1 inch, we can use the given proportional relationship:
6y = 15.24x
We know that 1 inch is equal to "x" centimeters. Therefore, we'll substitute "1" for "x" in the equation:
6y = 15.24(1)
Simplifying,
6y = 15.24
Now, to solve for "y", we'll divide both sides of the equation by 6:
y = 15.24 ÷ 6
Calculating,
y ≈ 2.54
Therefore, there are approximately 2.54 centimeters in 1 inch.
To determine the number of centimeters in 1 inch, we need to solve the given equation 6y = 15.24x for y, where y represents the number of centimeters and x represents the number of inches.
First, let's divide both sides of the equation by 6 to isolate y:
6y/6 = 15.24x/6
y = 2.54x
Now we can see that y represents the number of centimeters and x represents the number of inches. We have a proportionality constant of 2.54, which means that for every inch, there are 2.54 centimeters.
Therefore, there are 2.54 centimeters in 1 inch.