CIsolate y in the equation and check whether the given function is in the form of y=mx.
ANo, see solution.
BYes, see solution.
CNo, see solution.
Practice makes perfect
A direct variation function represents a proportional relationship. We know that a direct variation function follows the form y= mx, where x represents input values, y represents output values, and m represents the constant of variation. Let's consider the given function.
y=x+2.3 ⇔ y= 1x+2.3
The given function already has an isolated y-variable and is not in the form of y= mx. This means that the equation does not represent a proportional relationship.
A direct variation function represents a proportional relationship. We know that these functions follow the form y= mx, where x represents input values, y represents output values, and m represents the constant of variation. Let's consider the given function.
y= 6/13x
The given function already has an isolated y-variable and does match the form of a direct variation function. This means that we can say that y directly varies with x and that the constant of variation is 613. In this case, the equation does represent a proportional relationship.
A direct variation function represents a proportional relationship. We know that this type of function follows the form y= mx, where x represents input values, y represents output values, and m represents the constant of variation. Let's consider the given function.
7-y=2x
Since the given function is not in the form of y= mx, let's start by rewriting it to isolate y.
The given function now has an isolated y-variable, but it does not match the form of y= mx. This means that the equation does not represent a proportional relationship.
