Answer:
Constant of variation
=1/2
(assuming the normal situation where y
is considered the dependent variable).
Step-by-step explanation:
Normally when defining a direct variation between the variables
x and y, the variable y is considered dependent upon x (i.e. y is thought of as being equivalent to f(x). )and the direct variation equation, in this case, is of the form: y=cx where c is the constant of variation.
2x=4y
→4y =2x
→y=(1/2)x
→c=(1/2)
It is possible (although unlikely) that the intent was to specify
x as the dependent variable (i.e. x=g(y) )In this case the direct variation equation would be of the form:
x=y
2x=4y
←→x=4y
→c=2
