Tell whether the equation represents direct variation or neither, 7=3x+2 represents A) represents inverse variation B) represents direct variation C) represents neither.
C. Represents Neither.
Direct variation: Y = 5x.
When X is doubled, Y is doubled.
Inverse variation: Y = 5/X.
When X increases, Y decreases.
Is 5x+3=8y+3 a direct variation or not
To determine whether the equation 7=3x+2 represents direct variation or neither, we need to compare it to the general form of these types of variations.
Direct variation can be expressed as y = kx, where k is a constant.
Inverse variation can be expressed as y = k/x, where k is a constant.
The given equation, 7=3x+2, does not match either of these forms. It is in the form of a linear equation, where x has a coefficient of 3 and there is an additional constant term of 2.
Therefore, the equation 7=3x+2 represents neither direct variation nor inverse variation.
Thus, the answer is C) represents neither.
To determine whether an equation represents direct variation, we need to compare the equation with the standard form of a direct variation equation, which is y = kx, where k is the constant of variation.
In the given equation, 7 = 3x + 2, we have a constant term, 2, added to the term containing x. This indicates that the equation is not in the form y = kx, which means it does not represent direct variation.
Therefore, the correct answer is C) represents neither.