4. Describe Proportional Relationships: Constant of Proportionality
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Check whether the given equation is in the form of y=kx or can be written in the form of y=kx.
Check whether the given equation is in the form of y=kx or can be written in the form of y=kx.
Check whether the given equation is in the form of y=kx or can be written in the form of y=kx.
Proportional Relationship? No
Proportional Relationship? Yes
Constant of Proportionality: 1000
Proportional Relationship? No
y=0.5x-2 The given equation already has an isolated y-variable and is not in the form of y= kx. Therefore, we can say that y is not in proportional relationship with x and there is no constant of proportionality.
In Part B, we want to consider another equation. Let's take a look. y= 1000x The given equation is in the form of y= kx. Therefore, we can say that y directly varies with x and the constant of proportionality is 1000.
y=x+1 The given equation has an isolated y-variable and is not in the form of y= kx. Therefore, we can say that y is not in proportional relationship with x and there is no constant of proportionality.