(M7A) Test: Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is often represented by 'k' in the equation y = kx.

Front

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

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 proportional values.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other, meaning as one quantity increases, the other quantity increases at a consistent rate.

Front

If a recipe calls for 3/4 cup of sugar for every 3 eggs, what is the unit rate of eggs per cup?

Back

4 eggs per cup.

Front

Which of the following represents a proportional relationship: a table with values (2,4) and (4,8)?

Back

Yes, because the ratio of y to x is constant (2).

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

If the constant of proportionality is 2, what is the relationship between x and y?

Back

y = 2x.

Front

What is the constant of proportionality in the equation y = 3x?

Back

The constant of proportionality is 3.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality if 10 swings occur in 5 days?

Back

The constant of proportionality is 2 swings per day.