Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

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

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 does the equation c = 4d represent in terms of cost and DVDs?

Back

In the equation c = 4d, 'c' represents the total cost and 'd' represents the number of DVDs sold, with 4 being the constant of proportionality (cost per DVD).

Front

If the constant of proportionality is 9, what does this mean in a real-world context?

Back

It means that for every unit of the first quantity, the second quantity increases by 9 times that unit.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

How can you tell if two ratios are proportional?

Back

Two ratios are proportional if they can be simplified to the same value or if their cross products are equal.

Front

In the equation y = 14x, what does 14 represent?

Back

In the equation y = 14x, 14 is the constant of proportionality, indicating that for every unit increase in x, y increases by 14.

Front

What does the constant of proportionality represent in the equation C = 5p?

Back

In the equation C = 5p, the constant of proportionality (5) represents the cost per packet of honey.

Front

If 3 tons are produced every 18 days, how many tons are produced every day?

Back

To find tons produced per day, divide 3 tons by 18 days, which equals 0.1667 tons per day.

Front

What is the relationship between the constant of proportionality and unit rates?

Back

The constant of proportionality is equivalent to the unit rate, which describes how much of one quantity corresponds to one unit of another quantity.