Answer:
The given graph is not a direct variation because it does not exhibit a linear relationship.
Step-by-step explanation:
Direct variation occurs when one variable is directly proportional to another variable, which means that their relationship is linear.
In direct variation, the ratio of y to x remains constant, and this is typically expressed as:
[tex]y=kx[/tex]
where:
- y is the dependent variable,
- x is the independent variable,
- k is the constant of proportionality.
As the given graph is not linear, the variable y is not directly proportional to x. Instead, y is proportional to the square of x. Therefore, this relationship does not represent a direct variation.
