Math / Algebra

QuestionHow many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
A 0 (B) 1 (C) 2 (D) 3

Studdy Solution

STEP 1

1. A proportional relationship is represented by a linear equation of the form $y = kx$ , where $k$ is a constant.
2. A proportional relationship graphically appears as a straight line passing through the origin.
3. We need to count the number of such lines in the given image.

STEP 2

1. Identify the characteristics of a proportional relationship.
2. Analyze each curve in the coordinate plane.
3. Count the number of proportional relationships.

STEP 3

A proportional relationship is represented by a straight line that passes through the origin, meaning it has no y-intercept other than zero.

STEP 4

Examine the green curve: It is a downward-opening parabola, which is not a straight line and does not pass through the origin in a manner consistent with a proportional relationship.

STEP 5

Examine the purple line: It is a straight line that passes through the origin, indicating it could represent a proportional relationship.

STEP 6

Examine the blue line: It is also a straight line that passes through the origin, indicating it could represent a proportional relationship.

STEP 7

Count the number of lines that meet the criteria for a proportional relationship. Both the purple line and the blue line are straight lines passing through the origin.
The number of proportional relationships shown is:
$\boxed{2}$

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QuestionHow many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
A 0 (B) 1 (C) 2 (D) 3

Studdy Solution

STEP 1

1. A proportional relationship is represented by a linear equation of the form $y = kx$ , where $k$ is a constant.
2. A proportional relationship graphically appears as a straight line passing through the origin.
3. We need to count the number of such lines in the given image.

STEP 2

1. Identify the characteristics of a proportional relationship.
2. Analyze each curve in the coordinate plane.
3. Count the number of proportional relationships.

STEP 3

A proportional relationship is represented by a straight line that passes through the origin, meaning it has no y-intercept other than zero.

STEP 4

Examine the green curve: It is a downward-opening parabola, which is not a straight line and does not pass through the origin in a manner consistent with a proportional relationship.

STEP 5

Examine the purple line: It is a straight line that passes through the origin, indicating it could represent a proportional relationship.

STEP 6

Examine the blue line: It is also a straight line that passes through the origin, indicating it could represent a proportional relationship.

STEP 7

Count the number of lines that meet the criteria for a proportional relationship. Both the purple line and the blue line are straight lines passing through the origin.
The number of proportional relationships shown is:
$\boxed{2}$

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QuestionHow many proportional relationships are shown in the coordinate plane below?Choose 1 answer:A 0 (B) 1 (C) 2 (D) 3

Studdy Solution

STEP 1

1. A proportional relationship is represented by a linear equation of the form y=kx y = kx y=kx, where k k k is a constant.2. A proportional relationship graphically appears as a straight line passing through the origin.3. We need to count the number of such lines in the given image.

STEP 2

1. Identify the characteristics of a proportional relationship.2. Analyze each curve in the coordinate plane.3. Count the number of proportional relationships.

STEP 3

A proportional relationship is represented by a straight line that passes through the origin, meaning it has no y-intercept other than zero.

STEP 4

Examine the green curve: It is a downward-opening parabola, which is not a straight line and does not pass through the origin in a manner consistent with a proportional relationship.

STEP 5

Examine the purple line: It is a straight line that passes through the origin, indicating it could represent a proportional relationship.

STEP 6

Examine the blue line: It is also a straight line that passes through the origin, indicating it could represent a proportional relationship.

STEP 7

Count the number of lines that meet the criteria for a proportional relationship. Both the purple line and the blue line are straight lines passing through the origin. The number of proportional relationships shown is:2 \boxed{2} 2​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionHow many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
A 0 (B) 1 (C) 2 (D) 3

1. A proportional relationship is represented by a linear equation of the form $y = kx$ , where $k$ is a constant.
2. A proportional relationship graphically appears as a straight line passing through the origin.
3. We need to count the number of such lines in the given image.

1. Identify the characteristics of a proportional relationship.
2. Analyze each curve in the coordinate plane.
3. Count the number of proportional relationships.

Count the number of lines that meet the criteria for a proportional relationship. Both the purple line and the blue line are straight lines passing through the origin.
The number of proportional relationships shown is:
$\boxed{2}$