The proportional relationship 15.24 centimeters in 6 inches is represented by 6y=15.24x. Determine the number of centimeters in 1 inch.
Responses
2.54 centimeters
0.39 centimeters
3 centimeters
91.44 centimeters
The given proportional relationship is 6y = 15.24x.
We can solve for y by dividing both sides of the equation by 6:
y = (15.24/6)x
Simplifying the right side:
y = 2.54x
This equation tells us that y represents the number of centimeters and x represents the number of inches.
So we can say that 1 inch is equivalent to 2.54 centimeters.
Therefore, 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.
Since 6 inches correspond to 15.24 centimeters, we can set y = 15.24 and x = 6:
6y = 15.24x
6(15.24) = 15.24(6)
91.44 = 91.44
Therefore, the number of centimeters in 1 inch is 15.24 centimeters.