Common Core: 7th Grade Math : Ratios & Proportional Relationships

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #151 : Ratios & Proportional Relationships

Identify the constant of proportionality (i.e. the unit rate) in the provided graph. 

9

Possible Answers:

Correct answer:

Explanation:

In order to determine the constant of proportionality, we need to divide the quantities from the  coordinate by the quantities from the  coordinate. In order for the graph to show a direct proportion, each quotient should equal the same value. 

First, we need to find a series of coordinate points:

9 1

Now that we have a series of coordinate points, we can divide to find the constant of proportionality:

All of the quotients are the same value; therefore, this graph does show direct proportion and the constant of proportionality is .

Example Question #32 : Identify The Constant Of Prportionality: Ccss.Math.Content.7.Rp.A.2b

Identify the constant of proportionality (i.e. the unit rate) in the provided graph. 


11

Possible Answers:

Correct answer:

Explanation:

In order to determine the constant of proportionality, we need to divide the quantities from the  coordinate by the quantities from the  coordinate. In order for the graph to show a direct proportion, each quotient should equal the same value. 

First, we need to find a series of coordinate points:

11 1

Now that we have a series of coordinate points, we can divide to find the constant of proportionality:

All of the quotients are the same value; therefore, this graph does show direct proportion and the constant of proportionality is .

Example Question #151 : Ratios & Proportional Relationships

Identify the constant of proportionality (i.e. the unit rate) in the provided graph. 

13

Possible Answers:

Correct answer:

Explanation:

In order to determine the constant of proportionality, we need to divide the quantities from the  coordinate by the quantities from the  coordinate. In order for the graph to show a direct proportion, each quotient should equal the same value. 

First, we need to find a series of coordinate points:

13 1

Now that we have a series of coordinate points, we can divide to find the constant of proportionality:

All of the quotients are the same value; therefore, this graph does show direct proportion and the constant of proportionality is .

Example Question #151 : Ratios & Proportional Relationships

Identify the constant of proportionality (i.e. the unit rate) in the provided graph. 


12

Possible Answers:

Correct answer:

Explanation:

In order to determine the constant of proportionality, we need to divide the quantities from the  coordinate by the quantities from the  coordinate. In order for the graph to show a direct proportion, each quotient should equal the same value. 

First, we need to find a series of coordinate points:

12 1

Now that we have a series of coordinate points, we can divide to find the constant of proportionality:

All of the quotients are the same value; therefore, this graph does show direct proportion and the constant of proportionality is .

Example Question #152 : Ratios & Proportional Relationships

Identify the constant of proportionality (i.e. the unit rate) in the provided graph. 


8

Possible Answers:

Correct answer:

Explanation:

In order to determine the constant of proportionality, we need to divide the quantities from the  coordinate by the quantities from the  coordinate. In order for the graph to show a direct proportion, each quotient should equal the same value. 

First, we need to find a series of coordinate points:

8 1

Now that we have a series of coordinate points, we can divide to find the constant of proportionality:

All of the quotients are the same value; therefore, this graph does show direct proportion and the constant of proportionality is .

Example Question #153 : Ratios & Proportional Relationships

Identify the constant of proportionality (i.e. the unit rate) in the provided graph. 


7

Possible Answers:

Correct answer:

Explanation:

In order to determine the constant of proportionality, we need to divide the quantities from the  coordinate by the quantities from the  coordinate. In order for the graph to show a direct proportion, each quotient should equal the same value. 

First, we need to find a series of coordinate points:

7 1

Now that we have a series of coordinate points, we can divide to find the constant of proportionality:

All of the quotients are the same value; therefore, this graph does show direct proportion and the constant of proportionality is .

Example Question #152 : Ratios & Proportional Relationships

Identify the constant of proportionality (i.e. the unit rate) in the provided graph. 


5

Possible Answers:

Correct answer:

Explanation:

In order to determine the constant of proportionality, we need to divide the quantities from the  coordinate by the quantities from the  coordinate. In order for the graph to show a direct proportion, each quotient should equal the same value. 

First, we need to find a series of coordinate points:

5 1

Now that we have a series of coordinate points, we can divide to find the constant of proportionality:

All of the quotients are the same value; therefore, this graph does show direct proportion and the constant of proportionality is .

Example Question #153 : Ratios & Proportional Relationships

Identify the constant of proportionality (i.e. the unit rate) in the provided graph. 


3

Possible Answers:

Correct answer:

Explanation:

In order to determine the constant of proportionality, we need to divide the quantities from the  coordinate by the quantities from the  coordinate. In order for the graph to show a direct proportion, each quotient should equal the same value. 

First, we need to find a series of coordinate points:

3 1

Now that we have a series of coordinate points, we can divide to find the constant of proportionality:

All of the quotients are the same value; therefore, this graph does show direct proportion and the constant of proportionality is .

Example Question #154 : Ratios & Proportional Relationships

Identify the constant of proportionality (i.e. the unit rate) in the provided graph. 


10

Possible Answers:

Correct answer:

Explanation:

In order to determine the constant of proportionality, we need to divide the quantities from the  coordinate by the quantities from the  coordinate. In order for the graph to show a direct proportion, each quotient should equal the same value. 

First, we need to find a series of coordinate points:

10 1

Now that we have a series of coordinate points, we can divide to find the constant of proportionality:

All of the quotients are the same value; therefore, this graph does show direct proportion and the constant of proportionality is .

Example Question #154 : Ratios & Proportional Relationships

Identify the constant of proportionality (i.e. the unit rate) in the provided graph. 

4

Possible Answers:

Correct answer:

Explanation:

In order to determine the constant of proportionality, we need to divide the quantities from the y-coordinate by the quantities from the x-coordinate. In order for the graph to show a direct proportion, each quotient should equal the same value. 

First, we need to find a series of coordinate points:

4 1

Now that we have a series of coordinate points, we can divide the y-coordinate of each by its corresponding x-coordinate to find the constant of proportionality:

For point (4, 1), 1 divided by 4 is 

For point (8, 2), 2 divided by 8 is 

For point (12, 3), 3 divided by 12 is 

All of the quotients are the same value; therefore, this graph does show direct proportion and the constant of proportionality is .

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