The proportional relationship 15.24 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 1.
We can rewrite the given equation as:
6y = 15.24x
Dividing both sides by 6:
y = 2.54x
Now, substitute y = 1 into the equation:
1 = 2.54x
Dividing both sides by 2.54:
x = 1/2.54
Simplifying:
x ≈ 0.3937
Therefore, there are approximately 0.3937 centimeters in 1 inch.
To determine the number of centimeters in 1 inch, we need to solve the proportion 6y = 15.24x.
Here's how we can do it step-by-step:
Step 1: Divide both sides of the equation by 6 to isolate y.
6y/6 = 15.24x/6
y = 2.54x
Step 2: Now, we can substitute y with 2.54x in the equation to represent the proportional relationship between centimeters and inches.
2.54x = 15.24x/6
Step 3: To find the value of x, we can cross multiply.
(15.24/6) * x = 2.54 * x
Step 4: Simplify the equation.
2.54 * x = 0.4233 * x
Step 5: Since the value of x must be non-zero, we can divide both sides of the equation by x.
2.54 = 0.4233
Therefore, the number of centimeters in 1 inch is approximately 2.54 centimeters.