Can you answer this, please? Tell whether each equation represents direct variation between x and y.
y=-3x^2
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When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation.
In simpler terms, that means if A is always twice as much as B, then they directly vary.
For more help, look at freemath site.
Ans : Yes
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To determine whether an equation represents direct variation between x and y, we need to check if it can be expressed in the form y = kx, where k is a constant. Let's analyze the given equation:
y = -3x^2
This equation does not represent direct variation because it cannot be written in the form y = kx. Direct variation equations have a linear relationship (first power of x) and not a quadratic relationship (second power of x) like -3x^2.
Therefore, the equation y = -3x^2 does not represent direct variation between x and y.