Compare Proportional Relationship and Additive Relationship

Grace is saving for a shopping trip. She has $16 already saved and will earn $1 per week. Choose ALL statements that are correct.

• This is a proportional relationship.

• This is an additive relationship.

• The y-intercept is 16.

• The slope is 16.

Rhonda has two jobs. Her first job, mechanic earns at a rate of y=20x. Her bookkeeping business is shown in the table. Which business pays better.

• Mechanic

• bookkeeper

• waitress

• uber

Does the graph represent a proportional relationship?

• yes

• no

• y = 1/5x

• y = 5x

• y = 1/2x

• Tulsi

• Gary

• They have the same ratio

Answer explanation

Chris and Jenny are comparing two similar punch recipes. Each recipe calls for cranberry juice and ginger ale but in different amounts. The tables to the left show the amounts of cranberry juice and ginger ale for four different quantities of punch. Is the ratio of the punch that is cranberry juice the same in Chris’s recipes as it is in Jenny’s recipes? If not, whose punch has a greater concentration of cranberry juice?

• No, there is no way to determine this.

• Chris had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so Chris had a higher concentration of cranberry juice which means you can taste the cranberries more in his juice.

• Jenny had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so Jenny had a higher concentration of cranberry juice because she used less ginger ale.

• Chris had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so, Chris had a higher concentration of cranberry juice than ginger ale because he used more ginger ale.

• A

• B

• C

• D

Chris and Jenny are comparing two similar punch recipes. Each recipe calls for cranberry juice and ginger ale but in different amounts. The tables to the left show the amounts of cranberry juice and ginger ale for four different quantities of punch. Is the ratio of the punch that is cranberry juice the same in Chris’s recipes as it is in Jenny’s recipes? If not, whose punch has a greater concentration of cranberry juice?

• No, there is no way to determine this.

• Chris had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so Chris had a higher concentration of cranberry juice which means you can taste the cranberries more in his juice.

• Jenny had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so Jenny had a higher concentration of cranberry juice because she used less ginger ale.

• Chris had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so, Chris had a higher concentration of cranberry juice than ginger ale because he used more ginger ale.

Is the graph proportional?

• Yes

• No

What is the constant of proportionality? Use the format k = 2.