Question

In the equation provided, identify the constant of proportionality (i.e. the unit rate) y=1/4x

A) 1/4
B) y
C) x
D) 4

Answer 1

The constant of proportionality in the equation y=1/4x is 1/4. This means as x increases, y increases at a quarter of the rate of x.

Step-by-step explanation:

The constant of proportionality in the equation y = 1/4x is represented by the coefficient of the variable x. This coefficient gives us the unit rate at which y changes with respect to x. In this case, the coefficient is 1/4, which means for each unit increase in x, y increases by 1/4 of that unit. Let’s use an example to further explain this concept. If the scale dimension is 4 units, and you have the proportion 1:2 = 4:x, you can solve for x by setting up a proportion. Since the scale factor is 1/4, you would multiply 4 by 1/4 to get the actual dimension, which in this case would be 1.