Is It Proportional Graph

Cora loves to wear socks with crazy patterns. She finds a great deal for these kinds of socks at her favorite store, Rock Those Socks. Cora can buy 5 pairs of socks for $5. She can buy 7 pairs for $7.

In this relationship, x represents the number of pairs of socks that Cora buys, and y represents the total cost (in dollars).

Is this a proportional relationship?

• Yes. The constant of proportionality is 5.

• No. It does not go through the origin.

• Yes. The constant of proportionality is 1.

• No. The graph is not a straight line.

Kurt's grandparents get him a puppy for his 13th birthday, and he names the puppy Bailey. Kurt does a good job taking care of Bailey, and she's growing so fast! When Bailey is 1 month old, she weighs 3 pounds. When she is 3 months old, she weighs 7 pounds.

What is the constant of proportionality?

• Yes. The constant of proportionality is 3.

• No. The graph does not go through the origin.

• Yes. The constant of proportionality is 7.

• No. The graph is not a straight line.

Charlie is passionate about movies and dreams of going to film school. His goal for the next year is to watch every movie that won the Academy Award for Best Picture. He's already seen some of them and now plans to watch one per week until he's seen them all. After following his plan for 2 weeks, Charlie has seen 5 of the Best Picture winners. After 7 weeks, he has seen 10 of them.

Is this a proportional situation?

• Yes. The constant of proportionality is 5/2.

• No. The graph does not go through the origin.

• Yes. The constant of proportionality is 0.7

• No. The graph is not a straight line.

As a young girl, Lindsey enjoyed watching her father make things in his woodworking shop. Now that she's grown up, Lindsey builds wooden furniture for a living. Her most popular product is a cedar porch swing. It takes Lindsey 3 days to build 2 swings. It takes her 9 days to build 6 swings.

Is this situation proportional?

• Yes. The constant of proportionality is 3.

• No. The line does not go through the origin.

• Yes. The constant of proportionality is 2/3.

• No. The graph is not a straight line.

Select ALL graphs that show a proportional relationship.

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Which equations show a proportional relationship between x and y? Select ALL answers.

• y = x + 3

• y = 3x

• y = x - 6

• y = 6x

Anna's favorite book is about Johnny Appleseed, the American pioneer who planted apple trees all across the country. Inspired by the story, Anna plants an apple seed in her backyard and tends the seed as it slowly grows into a tree.

What is the constant of proportionality from the table?

• 0

• 1

• 2

• The table is not proportional.

Every Sunday, Steven and his friends get together to play their favorite board game, The Gems of Rawumba. Whoever collects the most gems wins! Players can earn gems by building mines.

What is the constant of proportionality from the table?

• 0

• 1

• 4

• The table is not proportional.

As a clock salesman at the Time Store, Lisa helps customers pick out the right clock for their needs. She earns a commission on each clock she sells.

What is the constant of proportionality?

• 0

• 3

• 25/3

• 3/25

What is the constant of proportionality?

• 3
• 4
• 2
• 1