QuestionFind relationships with the same constant of proportionality as $y=\frac{1}{2} x$ . Choose 3 answers: A $6 y=3 x$ , B $\quad y$

Studdy Solution

STEP 1

Assumptions1. We are looking for equations that have the same constant of proportionality as $y=\frac{1}{} x$ . . The constant of proportionality in the equation $y=\frac{1}{} x$ is $\frac{1}{}$ .

STEP 2

The constant of proportionality in an equation is the coefficient of $x$ when $y$ is isolated on one side of the equation.

STEP 3

For option A, $6y =3x$ , we first need to isolate $y$ on one side of the equation to find the constant of proportionality. $y = \frac{3x}{6}$

STEP 4

implify the equation to find the constant of proportionality.
$y = \frac{1}{2}x$ The constant of proportionality in option A is $\frac{1}{2}$ , which is the same as in the original equation $y=\frac{1}{2} x$ .

STEP 5

For option B, $y$ , there is no $x$ term, so there is no constant of proportionality. Therefore, option B does not have the same constant of proportionality as $y=\frac{1}{2} x$ .
So, the correct answer is option A.

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QuestionFind relationships with the same constant of proportionality as $y=\frac{1}{2} x$ . Choose 3 answers: A $6 y=3 x$ , B $\quad y$

Studdy Solution

STEP 1

Assumptions1. We are looking for equations that have the same constant of proportionality as $y=\frac{1}{} x$ . . The constant of proportionality in the equation $y=\frac{1}{} x$ is $\frac{1}{}$ .

STEP 2

The constant of proportionality in an equation is the coefficient of $x$ when $y$ is isolated on one side of the equation.

STEP 3

For option A, $6y =3x$ , we first need to isolate $y$ on one side of the equation to find the constant of proportionality. $y = \frac{3x}{6}$

STEP 4

implify the equation to find the constant of proportionality.
$y = \frac{1}{2}x$ The constant of proportionality in option A is $\frac{1}{2}$ , which is the same as in the original equation $y=\frac{1}{2} x$ .

STEP 5

For option B, $y$ , there is no $x$ term, so there is no constant of proportionality. Therefore, option B does not have the same constant of proportionality as $y=\frac{1}{2} x$ .
So, the correct answer is option A.

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QuestionFind relationships with the same constant of proportionality as y=12xy=\frac{1}{2} xy=21​x. Choose 3 answers: A 6y=3x6 y=3 x6y=3x, B y\quad yy

Studdy Solution

STEP 1

Assumptions1. We are looking for equations that have the same constant of proportionality as y=1xy=\frac{1}{} xy=1​x. . The constant of proportionality in the equation y=1xy=\frac{1}{} xy=1​x is 1\frac{1}{}1​.

STEP 2

The constant of proportionality in an equation is the coefficient of xxx when yyy is isolated on one side of the equation.

STEP 3

For option A, 6y=3x6y =3x6y=3x, we first need to isolate yyy on one side of the equation to find the constant of proportionality.y=3x6y = \frac{3x}{6}y=63x​

STEP 4

implify the equation to find the constant of proportionality.y=12xy = \frac{1}{2}xy=21​xThe constant of proportionality in option A is 12\frac{1}{2}21​, which is the same as in the original equation y=12xy=\frac{1}{2} xy=21​x.

STEP 5

For option B, yyy, there is no xxx term, so there is no constant of proportionality. Therefore, option B does not have the same constant of proportionality as y=12xy=\frac{1}{2} xy=21​x.So, the correct answer is option A.

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QuestionFind relationships with the same constant of proportionality as $y=\frac{1}{2} x$ . Choose 3 answers: A $6 y=3 x$ , B $\quad y$

Assumptions1. We are looking for equations that have the same constant of proportionality as $y=\frac{1}{} x$ . . The constant of proportionality in the equation $y=\frac{1}{} x$ is $\frac{1}{}$ .

The constant of proportionality in an equation is the coefficient of $x$ when $y$ is isolated on one side of the equation.

For option A, $6y =3x$ , we first need to isolate $y$ on one side of the equation to find the constant of proportionality. $y = \frac{3x}{6}$

implify the equation to find the constant of proportionality.
$y = \frac{1}{2}x$ The constant of proportionality in option A is $\frac{1}{2}$ , which is the same as in the original equation $y=\frac{1}{2} x$ .

For option B, $y$ , there is no $x$ term, so there is no constant of proportionality. Therefore, option B does not have the same constant of proportionality as $y=\frac{1}{2} x$ .
So, the correct answer is option A.