Proportional Relationships Easy

The ratio of cats to dogs seen by a veterinarian in one day is 2 to 5. If a vet saw 40 dogs in one day, how many cats did he see?

• 5

• 16

• 29

• 40

At a sports camp, there is one counselor for every 12 campers. If there are 156 campers attending the camp, which equivalent ratios could be used to find the number of counselors?

• 
• 
• 
• 

A baker is making an oversized sheet cake for a school dance. The recipe calls for 2 cups of sugar for every 3 cups of flour. How many cups of flour are needed, if she is using 18 cups of sugar?

• 27 cups

• 18 cups

• 9 cups

• 6 cups

Which rate gives the best price for scrapbook paper?

• 10 Sheets:$2.00

• 6 Sheets:$0.60

• 5 Sheets:$1.00

• 3 Sheets:$0.60

Two quantities are in a ​ (a)   if the two quantities vary and have a constant ratio between them.

• proportional relationship

• proportional

• unit rate

• nonproportional

• constant of proportionality

Two quantities are ​ (a)   if the ratios comparing them are equivalent.

• proportional

• nonproportional

• constant of proportionality

• proportion

Answer the following questions.

c

d

g

i

f

1,500

4500

100

yes

y = 1500x

y=10x

no

10,500

y=4500x

10

The table is​ ​ (a)   , because it ​ (b)   a constant ratio.

If so, what is the constant of proportionality?​ (c)  

• non-proportional

• proportional

• does not have

• has

• no constant

• k=14

Answer explanation

A proportional relationship means that two quantities maintain a constant ratio. In this case, the relationship does not exhibit a constant ratio, hence the answer is No.

A family makes homemade pickles. They pick the pickles at a rate of 80 pickles per 5 jars. Which answer choices best represent packing y pickles in x jars at that rate? Select TWO correct answers.

Which situation represents a proportional relationship?

Select the correct answer ○ in each row.