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
91.44 centimeters
91.44 centimeters
3 centimeters
3 centimeters
0.39 centimeters
0.39 centimeters
2.54 centimeters
To find the number of centimeters in 1 inch, we need to find the value of x when y=1 (since we are looking for the relationship between 1 inch and an unknown number of centimeters).
Plugging in y=1 into the equation 6y=15.24x, we get:
6(1) = 15.24x
6 = 15.24x
Dividing both sides by 15.24:
x ≈ 0.3937
So the number of centimeters in 1 inch is approximately 0.39 centimeters.
To find the number of centimeters in 1 inch, we need to solve the given proportional relationship 6y = 15.24x.
First, let's divide both sides of the equation by 6 to isolate "y":
y = 15.24x/6
Now, let's substitute 1 for "x" in the equation:
y = 15.24(1)/6
y = 15.24/6
y = 2.54
Therefore, the number of centimeters in 1 inch is 2.54 centimeters.