Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant as the values change.

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 values.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

If 4 pounds of bananas cost $100, what is the cost per pound?

Back

The cost per pound is $25, calculated by dividing $100 by 4.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. For example, if 100 dollars are earned for 1 hour worked, the unit rate is $100/hour.

Front

True or False: The horizontal axis is the x-axis.

Back

True.

Front

What is the formula to find the constant of proportionality when given a ratio?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If k = 1.50, what does this mean in a proportional relationship?

Back

It means that for every unit increase in x, y increases by 1.50 units.

Front

What does it mean if two quantities are not proportional?

Back

If two quantities are not proportional, their ratio is not constant; as one quantity changes, the other does not change in a consistent manner.

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.