Proportional Graphs and Tables

R and P Review

Proportional Relationships

Characteristics of Proportional Graphs.

• They are in the shape of a straight line.

• They start or cross at the point of origin.

Multiple Choice

Which graph is non-proportional?

• A
• B
• C
• D

Multiple Choice

Does this graph represent a proportional relationship?

• Yes
• No

Multiple Choice

Is the graph proportional or non proportional?

• proportional
• non proportional

Constants & Graphs

•  In graphs of proportional relationships, the point (1, y)  shows that `y` is the constant of proportionality. 

• For example, in the graph on the right, the point (1, 6) tells us that the constant of proportionality is 6.

Constant of Proportionality

Multiple Choice

Based on the graph, what is the constant of proportionality?

• 1

• 12

• 24

Multiple Choice

What does the point (2, 12) tell us?

• For 2 pounds it cost $12

• It costs $2 for 12 pounds.

Multiple Choice

Identify the constant of proportionality.

• k = 6

• k = 12

• k = 1/6

• k = 1/12

• none (not proportional)

Multiple Choice

Which statement matches the graph?

• Taylor can write 6 words per minute

• Taylor can write 25 words per minute

• Taylor can write 50 words per minute

• Taylor can write 150 words per minute

Multiple Choice

What is the unit rate in this proportional relationship?

• 60 miles/1 hour
• 120 miles/ 2 hours
• 1 mile/ 1 hour

What is a proportional relationship?

• A proportional relationship is a relationship in which the ratio between the two quantities is equivalent for all values.

• The table to the right represents a proportional relationship...

Multiple Choice

Identify the table as proportional or non-proportional.

• Proportional

• Non-Proportional

Multiple Choice

Identify the table as proportional or non-proportional.

• Proportional

• Non-Proportional

Multiple Choice

Is the relationship between x and y proportional?

If so, what is the unit rate?

(Click on the image to make it bigger)

• Yes;

  $$\frac{1}{3}$$  

• Yes; 

  3

• Yes; 

  5

• No

Multiple Choice

The table below represents the amount of money Junior earns mowing lawns during the summer. What is the unit rate between hours and money earned?

(Click on the image to make it bigger)

• $3

• $4

• $2

• $9

Completing Tables using Ratios

​

50% is half of 100%, so take half of 4,000

100% divided by 10 is 10%, 4,000 divided by 10 is 400

5% is half of 10%, half of 400 is 200

Multiple Choice

Using the table, what is 3% of 4,000

• 300

• 120

• 12

• 34

Multiple Choice

Using the table, what is 9% of 4,000

• 900

• 490

• 360

• 400

Multiple Choice

Using the table, what percent of 4,000 is 440?

• 11%

• 9%

• 14%

• 166%

Multiple Choice

What is the constant of proportionality?

• 15
• 5
• 75
• 25

Multiple Choice

What is the constant of proportionality?

• $3
• $4
• $2
• $9

Multiple Choice

In the equation y = 14x, what is the constant of proportionality?

• y
• x
• 14
• y=14

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 = 16/2x
• y=8x
• y=12x

Multiple Choice

Write the equation for the table given

• y = 1/3x
• y = 3x
• y = 1/2x