Lesson 1-5 Recap Proportional Relationships

Finding Constants of Proportionality

Recap Lesson 5

Recap with a Video

This is the method we've been discussing in class!

Time for Practice!

Multiple Choice

Determine the constant of proportionality for the table. Express your answer as y = kx

• y = 1/2x

• x = 1/2y

• y = 2x

• k = x

Multiple Choice

Determine the constant of proportionality for the table. Express your answer as y = kx

• y = 30k

• y = 30x

• y = 0.03x

• y = 9x

Multiple Choice

Identify the constant of proportionality.

• k = 17

• k = 1/17

• k = 2/22

• k = 25/3

• none (not proportional)

Multiple Choice

Identify the constant of proportionality.

• k = 1/0.45

• k = 0.45

• k = -0.45

• k = -1/0.45

• none (not proportional)

Multiple Choice

Identify the constant of proportionality.

• k = 1/90

• k = 90

• k = 1/30

• k = 30

• none (not proportional)

Multiple Choice

Identify the constant of proportionality.

• k = 2

• k = 3

• k = 1.50

• k = 2/3

• none (not proportional)

Multiple Choice

Identify the constant of proportionality.

• k = 2x

• k = 2

• k = 4

• none (not proportional)

Good Job!

Ready for more?

Let's see a new approach to find the constant of proportionality

Watch the video to learn more!

Open Ended

What did this mathematician do differently?

Let's Practice More!

You can use either method to help you!

Multiple Choice

What is the constant of proportionality? 

• 4
• 2
• 1/4
• -4

Multiple Choice

What is the constant of proportionality?

• 7
• 3.3
• 3/10
• 14

Multiple Choice

Determine the missing value in the table.

• 15
• 3
• 1/3
• 9

Multiple Choice

Is the given table a proportional relationship? If so, what is the constant?

• Yes; 1/3
• Yes; 3
• Yes; 5
• No

Multiple Choice

The constant of proportionality in the equation y = ½x is _______. 

• x
• y
• 1/2
• 2

Multiple Choice

What is the constant of proportionality for this table?

• $1/9 per hour
• $9 per hour
• $8 per hour

NICE WORK!

Almost done!

Take a minute to look at this picture

Maybe write some of it down?

Multiple Choice

What is the equation for this table? Use y=kx format.

• y=0.125x
• y=8x
• y=2x
• y=5x

Multiple Choice

Write an equation for this relationship.

• y=1/5x
• y=1/2x
• y=2x
• y=5x

Multiple Choice

Write the equation for the table given

• y = 1/3x
• y = 3x
• y = 1/2x
• x = 3y

Multiple Choice

Write an equation for this relationship.

• y=4x
• y=1/8x
• y=1/4x
• y=8x

Multiple Choice

If the constant of proportionality is 10, which of the following is the correct proportional equation?

• 10=kx
• 10=k
• y=10k
• y=10x

Multiple Choice

What is the formula for a proportional relationship?

• y=kx
• y=k/x
• z=ykx
• y=ky

You just wrote equations for PROPORTIONAL RELATIONSHIPS!!

So proud of you ☺️