Comparing Proportional Relationships

Comparing Proportional Relationships

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Multiple Choice

Which of the following graphs show a proportional relationship?

Proportional Graphs

• Pass through the origin

• Are linear

Open Ended

What do you see in the image above? (click on the picture to make it larger)

The Constant of Proportionality

• What does it tell us????

Kim works as a resumé editor. She, a fan of math, creates an equation to show her earnings. The equation is y = 5x. What do you think this means in the context of this problem?

Open Ended

y=5x, explain in the context of Kim's problem

y=5x

x is the number of hours worked OR the number of resume's reviewed

y is the total earnings

5 represents how much she earns per hour or per resume

Answer question 1 on your lesson document

How to make a table and a graph from an equation

A review from weeks gone by

Multiple Choice

Does the table represent a proportional relationship?

• Yes.
• No.

Multiple Choice

Does the table represent a proportional relationship?

• Yes.
• No.

Multiple Choice

Write the equation for the table given

• y = 1/3x
• y = 3x
• y = 1/2x

Multiple Choice

Write the equation for the table given.

• y = 16/2x
• y=8x
• y=12x

Multiple Choice

Is the graph proportional or non proportional?

• proportional
• non proportional

Multiple Choice

Which line shows a proportional relationship between x and y?

• Line L
• Line M

Complete this question on your lesson document

Answer the question on your lesson document

Multiple Choice

Who makes more after 12 hours of working?

• Jada

• Elena

Open Ended

How long will it take Jada to earn $150?

Multiple Choice

The graph shows the speed of a Sally the sloth. Jordan, another sloth, moves 3 ft per minute. Which sloth is moving faster?

• Sally

• Jordan

• Impossible to tell

Multiple Choice

The graph shows the cost to rent a canoe from company A. At company B, the cost to rent a canoe is $ 5 dollars per hour. How much more expensive would it be to rent from company A if you rented for 5 hours?

• $1

• $3

• $5

• $7

Multiple Choice

Based on the graph, what is the slope (rate of change) of a canoe rental?

• $6 per hour

• $12 per hour

• $24 per hour

• $1 per 12 hours

Multiple Choice

Sia saves 25 dollar per month. Miguel's savings are shown in the graph. After two months, how much more would Sia have saved than Miguel?

• $10

• $20

• $30

• $40

Multiple Choice

Which graph shows the relationship y = 2x

Multiple Choice

Write an equation to represent the proportional relationship shown in the table.

• y=12x
• y=4x
• y=¼x
• y=¹²/₃x

Multiple Choice

Write an equation to show the proportional relationship in the graph.

• y=¹/₅₂x
• y=104x
• y=52x
• y=¹/₁₀₄x

Multiple Choice

Which pizzeria makes more money?

• Pizzeria W
• Pizzeria L
• They both make the same amount

Multiple Choice

Jack and Eshan were running laps in gym. Which student was running faster and by how much?

• Jack is faster and after 6 minutes he will have run 8 more laps

• Eshan is faster and after 6 minutes he will have run 8 more laps

• Impossible to tell