Constant of Proportionality (Tables) Practice

Front

What is the definition of the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other, often expressed as a unit rate.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed in the form 'x per 1 y'.

Front

If the constant of proportionality is 4 lemons per pitcher, how many lemons are needed for 3 pitchers?

Back

12 lemons (4 lemons/pitcher * 3 pitchers = 12 lemons).

Front

What is the constant of proportionality if 18 gallons are used in 1 minute?

Back

The constant of proportionality is 18 gallons/minute.

Front

If a person swings 0.5 times per day, what is the total number of swings in 7 days?

Back

3.5 swings (0.5 swings/day * 7 days = 3.5 swings).

Front

How can you express the constant of proportionality in a different form?

Back

It can be expressed as a fraction, decimal, or ratio, depending on the context.

Front

What is the relationship between the constant of proportionality and direct variation?

Back

In direct variation, the constant of proportionality is the constant factor that relates the two variables.

Front

If the constant of proportionality is 2 bedsheets per minute, how many bedsheets are produced in 5 minutes?

Back

10 bedsheets (2 bedsheets/minute * 5 minutes = 10 bedsheets).

Front

What does it mean if the constant of proportionality is less than 1?

Back

It indicates that the quantity of the first variable is less than the quantity of the second variable for each unit.