Constant of Proportionality

Which equation represents the constant of proportionality for the table?

x

1

2

3

4

5

y

0.5

1

1.5

2

2.5

• 0.5

• 5

• 4

• 3

Which equation represents the constant of proportionality for the table?

x

1

2

3

4

5

y

3

6

9

12

15

• 2

• 10

• 3

• 5

Harper, Avery, and Maya are studying the relationship between the number of hours they study and the scores they get in their tests. They noticed that the scores are proportional to the hours they study. If x represents the number of hours they study and y represents the scores they get, which equation represents the constant of proportionality for the table they created?

x

1

2

3

4

5

y

0.5

1

1.5

2

2.5

• 4

• 3

• 5

• 0.5

Harper, Ethan, and Anika are selling lemonade at a stand. They notice that the amount of money they make is directly proportional to the number of cups they sell. The table below shows the number of cups sold (x) and the money made (y) in dollars.

x

1

2

3

4

5

y

3

6

9

12

15

Which equation represents the constant of proportionality for the money they make?

• 10

• 2

• 3

• 5

Which equation represents the constant of proportionality for the table?

x

1

2

3

4

5

y

0.5

1

1.5

2

2.5

• 0.5

• 3

• 4

• 5

Which equation represents the constant of proportionality for the table?

x

1

2

3

4

5

y

3

6

9

12

15

• y = 2x

• y = x + 3

• y = 3x

• y = 5x - 2

Anika, Isla, and Ava are studying the relationship between the number of hours they study (x) and the number of chapters they can cover (y). They found that for every hour they study, they can cover a certain number of chapters. Here is what they found:

x

1

2

3

4

5

y

0.5

1

1.5

2

2.5

Which equation represents the constant of proportionality for their study table?

• 3

• 0.5

• 4

• 5

Which equation represents the constant of proportionality for the table?

x

1

2

3

4

5

y

3

6

9

12

15

• 3

• 10

• 2

• 5

Samuel is selling lemonade at a stand. He notices that the amount of money he makes is directly proportional to the number of lemonades he sells. The table below shows the number of lemonades sold (x) and the money made (y) in dollars.

x

1

2

3

4

5

y

0.5

1

1.5

2

2.5

Which equation represents the constant of proportionality for the table?

• 4

• 0.25

• 3.5

• 0.5

Grace, Isla, and Harper are selling lemonade at a stand. They notice that the amount of lemonade they sell (y) is directly proportional to the number of hours (x) they keep the stand open. Here is what they observed:

Hours (x)

1

2

3

4

5

Lemonade sold (y)

3

6

9

12

15

Which equation represents the constant of proportionality for their lemonade stand?

• 3

• 10

• 5

• 2