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
0.39 centimeters
0.39 centimeters
91.44 centimeters
91.44 centimeters
3 centimeters
3 centimeters
2.54 centimeters
2.54 centimeters.
We can solve for y by dividing both sides of the equation by 6:
y = 2.54x
This shows that for every 1 inch (x=1), y = 2.54, which represents the number of centimeters in 1 inch.
To find the number of centimeters in 1 inch, you need to solve the equation 6y=15.24x for y, where y represents the number of centimeters and x represents the number of inches.
To do this, divide both sides of the equation by 6, so you have y = (15.24/6)x.
Simplifying the right side, you have y = 2.54x.
This equation tells you that for every x inches, there are 2.54x centimeters.
Since you want to find the number of centimeters in 1 inch, plug in x = 1 into the equation: y = 2.54(1).
Solving this equation, you find that y = 2.54.
Therefore, the number of centimeters in 1 inch is 2.54 centimeters.
To determine the number of centimeters in 1 inch, we can solve the proportional relationship equation `6y = 15.24x` where `x` represents the number of inches and `y` represents the number of centimeters.
The equation tells us that for every 6 inches, there are 15.24 centimeters. To find out 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 2.54 centimeters.