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1 answer:
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Answer:
Option D.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<u><em>Verify each case</em></u>
case A) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line not passes through the origin
therefore
The equation A not represent a proportional relationship
case B) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line not passes through the origin
therefore
The equation B not represent a proportional relationship
case C) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line not passes through the origin
therefore
The equation C not represent a proportional relationship
case D) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line passes through the origin
therefore
The equation D represent a proportional relationship