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
3 centimeters
3 centimeters
2.54 centimeters
2.54 centimeters
0.39 centimeters
0.39 centimeters
91.44 centimeters
The equation 6y = 15.24x represents the proportional relationship between inches and centimeters. To determine the number of centimeters in 1 inch, we can substitute x = 1 into the equation 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.
To determine the number of centimeters in 1 inch, we need to solve the equation 6y = 15.24x for y. We know that y represents the number of centimeters and x represents the number of inches.
Dividing both sides of the equation by 6, we get:
y = (15.24/6) x
Simplifying the right side of the equation, we have:
y = 2.54x
This means that there are 2.54 centimeters in 1 inch.
Therefore, the correct answer is 2.54 centimeters.