The equation y = 9x represents the liters of water a baseball team drinks each practice. This equation shows that after four practices, the team will have consumed 36 liters of water.
Determine the constant of proportionality.
36
9
4
0.25
The constant of proportionality is 9.
To determine the constant of proportionality, we can rearrange the equation y = 9x to solve for the constant.
Since the equation represents the liters of water a baseball team drinks each practice, y represents the liters of water and x represents the number of practices.
According to the information given, after four practices, the team will have consumed 36 liters of water. This means that when x is 4, y is 36.
Plugging these values into the equation gives us:
36 = 9(4)
Simplifying this equation, we have:
36 = 36
Since the equation is true, we can conclude that the constant of proportionality is 9.
Therefore, the correct answer is 9.
To find the constant of proportionality in the equation y = 9x, we need to understand how the values of y and x are related.
The equation states that y, which represents the liters of water consumed, is equal to 9 times x, where x represents the number of practices.
We are given that after four practices, the team will have consumed 36 liters of water. So, we can substitute these values into the equation:
36 = 9 * 4
To solve for the constant of proportionality, we need to isolate it on one side of the equation. Divide both sides by 4:
36 / 4 = 9 * 4 / 4
9 = 9
Therefore, the constant of proportionality is 9.