Basic Proportional Relationships

Which of the tables above are proportional?

• Table 5 only

• Tables 5 and 8

• Tables 6 and 7

• None of the tables are proportional.

What is the constant of proportionality (in miles per hour) based on the table?

• 2 mph

• 45 mph

• 90 mph

• 135 mph

What is the constant of proportionality for this table?

(*hint* - money is usually the y-value)

• $1/9 per hour

• $9 per hour

• $8 per hour

The constant of proportionality of this graph is k = 45. What does it mean?

• The boat travels for 45 miles for every 45 hours

• The boat travels 1 mile for every 45 hours

• The boat travels 45 miles for every 1 hour

• The boat travels 1/45 mile for every 1 hour

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

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.

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

• proportional

• nonproportional

• constant of proportionality

• proportion

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.

When two ratios are equal they are .

(a)  

• Proportional

• Ratio

• Rate

• Unit Rate