Proportional Vs. Non-Proportional Situations

Today you are looking at proportional, vs. non-proportional situations!

​There are 3 situations to differentiate between:

• Graph Problems

• Table Problems

• Word Problems

​**Note: the y intercept, b, equals 0! Proportional means b=0!

​**Note: the y intercept, b, does not equal 0! Non-Proportional means b=the y intercept!

Multiple Choice

What is the y-intercept for the following graph and is it proportional or non-proportional?

• Proportional, b=0

• Proportional, m=0

• Non-proportional, b=1

• Non-proportional, b=0

Multiple Choice

What is the y-intercept for the following graph and is it proportional or non-proportional?

• Proportional, b=1

• Proportional, b=-2

• Non-proportional, m= -1

• Non-proportional, b=1

Multiple Choice

What is the y-intercept of the graph and is it proportional or non-proportional?

• Proportional, y-intercept is 8 miles

• Non-proportional, y-intercept is 8 miles

• Proportional, y-intercept is 8 hours

• Non-proportional, y-intercept is 8 hours

Multiple Select

Which 2 graphs show a non-proportional relationship between x and y?

Multiple Choice

Does this graph represent a proportional relationship?  

• No, because it doesn't pass through the origin.

• Yes, because it doesn't pass through the origin.

• Yes, because it intersects the y axis.

• No, because it intersects the x axis.

Multiple Choice

Does this graph represent a proportional relationship?

• Yes, because the line is pretty.

• No, because the line goes through the origin.

• Yes because the line goes through the origin.

• No, because the graph is non-proportional.

Multiple Choice

What is the y-intercept for the following table and is it proportional or non-proportional?

• Proportional, y-intercept is 0

• Non-proportional, y-intercept is 0

• Proportional, slope is 0

• Non-proportional, slope is 0

Multiple Choice

What is the y-intercept for the following table and is it proportional or non-proportional?

• Proportional, y-intercept is 0

• Non-proportional, y-intercept is 6

• Proportional, y-intercept is undefined

• Non-proportional, y-intercept is 3

Multiple Choice

Examine the table.

Does a proportional relationship exist between the time spent and the distance?

• Proportional

• Non-proportional

Multiple Choice

Which best describes the table?

• proportional

• non-proportional

Multiple Select

What is the slope and is this table proportional or non proportional? Select 2 correct answers.

• 45

• 90

• Proportional

• Non-Proportional

• 0

Multiple Choice

Shawn makes $7.50 an hour to babysit for her next door neighbors.  Describe the graph of this relationship.

• Proportional

• Non-proportional

Multiple Choice

Mama Mia’s Pizza sells medium pizza for $7 each and charges a $2 delivery fee per order. Which describes this relationship?

• a non-proportional function with a y-intercept of 2

• a non-proportional function with a y-intercept of 7

• a proportional function with a y-intercept of 2

• a proportional function with a y-intercept of 7 

Multiple Choice

Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day. 

• Proportional

• Non-Proportional

Multiple Choice

Newtown middle school spends 11 dollars on every yearbook it buys. Is the amount of money NMS spends on yearbooks proportional to the total number of yearbooks NMS buys?

• Yes

• No

Multiple Choice

Which of the situations below represents a non-proportional relationship?

• total distance traveled and number of hours traveled, if John drove his car at a constant rate of 60 miles per hour for 2 hours

• total earnings and number of hours spent babysitting, if Carrie babysat for 4 hours at a rate of $8 per hour

• total fees charged and number of carpeted rooms cleaned, if a carpet cleaning company charges $40 for the first room and $25 for each additional room

• total savings and number of weeks spent saving, if Jeremy saved $10 each week for 6 weeks

​Other ways they could ask!

Take what you've learned and see if you can apply it to these other questions!

**Remember if you see "y= "

you can always graph it in DESMOS to double check!

Match

Match the following

• Jovan charges $10 per hour to mow lawns in his neighbourhood.

• After 1 lesson Heba knew 5 songs, after 2 lessons she knew 10 songs, after 3 lessons she knew 12 songs, and after 4 lessons she knew 16 songs.

Proportional

Non-proportional

Proportional

Non-proportional

Proprotional

• Proportional

• Non-proportional

• Proportional

• Non-proportional

• Proprotional

Multiple Choice

Which best describes the graph?
y = 75x

• Proportional

• Nonproportional

Multiple Choice

Which best describes this graph?
y= 3.75x + 2

• Proportional 

• Non-proportional

Multiple Choice

Proportional or Non-Proportional?

• Proportional

• Non-Proportional

Multiple Choice

Proportional or Non-Proportional?

• Proportional

• Non-Proportional

Multiple Choice

A personal pizza is $7.00 plus $0.50 per topping.

• Proportional

• Non Proportional

Multiple Choice

The water level at Town Lake is dropping 8 inches per month.

• Proportional

• Non Proportional

Multiple Choice

Does the table show a proportional relationship?

• Yes

• No

Multiple Select

Determine which of the following equations represent a proportional relationship. Select all that apply.

• $$y=3x-8$$

• $$y=\frac{1}{4}x$$

• $$y=5x$$

• $$y=0.7x+8.8$$

• $$y=0.5x$$