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

## Example Questions

### Example Question #151 : Ratios & Proportional Relationships

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

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:

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.

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:

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.

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:

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.

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:

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 #155 : Ratios & Proportional Relationships

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

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:

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 #156 : Ratios & Proportional Relationships

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

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:

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 #157 : Ratios & Proportional Relationships

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

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:

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 #158 : Ratios & Proportional Relationships

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

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:

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 #159 : Ratios & Proportional Relationships

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

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:

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 #160 : Ratios & Proportional Relationships

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