7th Grade Math - Decide if Two Quantiies are in a Proportional Relationship: CCSS.Math.Content.7.RP.A.2a

1

In a high school, the ratio of freshmen to seniors is . If there are seniors, how many freshmen are there?

Explanation

Set up the following proportion, with being the number of freshmen.

$\frac{4}{5}=\frac{x}{150}$

Now, cross-multiply and solve for .

2

There are boys and girls at a playground. What is the ratio of boys to girls?

Explanation

Write the numbers of boys and girls as a fraction, then simplify.

$\frac{45}{36}=\frac{5}{4}$

$\frac{5}{4}$ can also be written as

3

The ratio of offensive players to defensive players on a football team is $2\text{ to }5$ . If there are players on the team, how many offensive players are there?

Explanation

Let be the number of offensive players and be the number of defensive players.

Since there is a total of players on the team,

We need to find the number of offensive players, so we will need to find the value of .

$2x=6\times2=12$

4

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.43.29 am

Yes,

No

Yes,

Explanation

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the coordinate column by the quantities in the coordinate column. In order for the table to show direct proportion, each quotient should be the same value.

In this example, each quotient is the same value; therefore, this table does show direct proportion.

Screen shot 2016 02 17 at 9.43.35 am

The proportion is

5

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.43.49 am

Yes,

No

Yes,

Explanation

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the coordinate column by the quantities in the coordinate column. In order for the table to show direct proportion, each quotient should be the same value.

In this example, each quotient is the same value; therefore, this table does show direct proportion.

Screen shot 2016 02 17 at 9.43.54 am

The proportion is

6

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.44.22 am

Yes,

No

Yes,

Explanation

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the coordinate column by the quantities in the coordinate column. In order for the table to show direct proportion, each quotient should be the same value.

In this example, each quotient is the same value; therefore, this table does show direct proportion.

Screen shot 2016 02 17 at 9.44.28 am

The proportion is

7

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.43.59 am

Yes,

No

Yes,

Explanation

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the coordinate column by the quantities in the coordinate column. In order for the table to show direct proportion, each quotient should be the same value.

In this example, each quotient is the same value; therefore, this table does show direct proportion.

Screen shot 2016 02 17 at 9.44.04 am

The proportion is

8

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.44.48 am

No

Yes,

Explanation

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the coordinate column by the quantities in the coordinate column. In order for the table to show direct proportion, each quotient should be the same value.

In this example, each quotient isn't the same value; therefore, this table does not show direct proportion.

Screen shot 2016 02 17 at 9.44.53 am

9

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.44.33 am

Yes,

No

Yes,

Explanation

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the coordinate column by the quantities in the coordinate column. In order for the table to show direct proportion, each quotient should be the same value.

In this example, each quotient isn't the same value; therefore, this table does not show direct proportion.

Screen shot 2016 02 17 at 9.44.38 am