Introducing Proportional Relationships

How many cups of rice are needed to serve 45 people?

2. A recipe says that 6 spring rolls will serve 3 people. Complete the table.

A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger or smaller batches, but they always use the same ratio of honey to flour. Complete the table by filling in the values of D, E, and F.

4 quarters are equal in value to 10 dimes. Find the values of A, B, and C

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

When two ratios are equal they are .

(a)  

• Proportional

• Ratio

• Rate

• Unit Rate

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.

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

• proportional

• nonproportional

• constant of proportionality

• proportion

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.

Which situation represents a proportional relationship?

Select the correct answer ○ in each row.