A group of hikers is packing trail mix. The direct variation equation y=3/4x shows the relationship between number of hikers, x , and number of cups of trail mix, y . What is the constant of proportionality in this situation?
The constant of proportionality is 3/4.
In the direct variation equation y = (3/4)x, the constant of proportionality is 3/4.
To find the constant of proportionality, also known as the constant of variation, we need to understand the equation y = (3/4)x.
In this equation, y represents the number of cups of trail mix and x represents the number of hikers. The equation is in the form of "y = kx," where k represents the constant of proportionality.
To identify the constant of proportionality in this case, we can compare the equation to the general form of a direct variation equation: y = kx.
By comparing the two equations, we see that the constant of proportionality in this situation is (3/4).