The proportional relationship 15.24 centimeters in 6 inches is represented by 6y=15.24x. Determine the number of centimeters in 1 inch.(1 point)
Responses
2.54 centimeters
2.54 centimeters
0.39 centimeters
0.39 centimeters
3 centimeters
3 centimeters
91.44 centimeters
To determine the number of centimeters in 1 inch, we can substitute 1 for x in the equation 6y = 15.24x and solve for y:
6y = 15.24(1)
6y = 15.24
y = 15.24/6
y ≈ 2.54
Therefore, the number of centimeters in 1 inch is approximately 2.54 centimeters. So the correct answer is:
2.54 centimeters
To determine the number of centimeters in 1 inch in the given proportional relationship, we can use the equation 6y = 15.24x.
Let's set x = 1 (representing 1 inch in the equation) and solve for y:
6y = 15.24x
6y = 15.24(1)
6y = 15.24
Now, divide both sides by 6 to isolate y:
y = 15.24 / 6
y ≈ 2.54
Therefore, the number of centimeters in 1 inch is approximately 2.54 centimeters.
So, the correct response is: 2.54 centimeters.
To determine the number of centimeters in 1 inch, we can use the given proportional relationship:
6y = 15.24x
In this equation, 6 represents the number of inches and 15.24 represents the corresponding number of centimeters.
To find the number of centimeters in 1 inch, we need to find the value of x when y = 1 (since we want to find the number of centimeters in 1 inch).
Substituting y = 1 into the equation:
6(1) = 15.24x
Simplifying the equation:
6 = 15.24x
Now, we can solve for x:
x = 6/15.24
Calculating the value:
x ≈ 0.3937
Therefore, the number of centimeters in 1 inch is approximately 0.39 centimeters.