Comparing Proportional Relationships in Different Forms

Select all true statements

• A is not proportional but B is

• both pass through (0,0)

• y = 3x is the equation for table A

• y = 4x is the equation for table B

• if graphed, these tables would make the same line

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

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

• y=¹/₅₂x

• y=104x

• y=52x

• y=¹/₁₀₄x

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

• y=12x

• y=4x

• y=¼x

• y=¹²/₃x

• Store A

• Store B

• Store C

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.

Devon and Kylie each make a cheese sauce. Devon uses 8 oz of cheese for every 9 oz of cream. Kylie uses 11 oz of cheese for every 12 oz of cream. Whose sauce will have the stronger cheese flavor?

• Devon

• Kylie

• They are the same

The equation y=12x represents the price of beef jerky in Store A. The table shows the price for Store B. Which store has the better price?

• Store A

• Store B

• They both have the same price

Which person has the greater ratio relationship of words to minutes?

• Jenna

• Maria

• They are equivalent.

Are the rates equivalent?

• Yes, they are equivalent.

• No, they are not equivalent.