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' in the equation y = kx.

Front

How do you identify a proportional relationship in a graph?

Back

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

Front

What does a constant of proportionality of 45 mph mean in a table?

Back

It means that for every hour, the distance traveled is 45 miles.

Front

If the price of bananas is $0.25 per pound, what is the constant of proportionality?

Back

The constant of proportionality is $0.25, indicating the price per pound.

Front

When comparing quantities, what does 'y over x' represent?

Back

'y over x' represents the ratio of the dependent variable (y) to the independent variable (x).

Front

What is the formula to find the constant of proportionality?

Back

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

Front

If a train travels 50 miles in 1 hour, what is its speed?

Back

The speed of the train is 50 miles per hour.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

How can you tell if two quantities are proportional?

Back

Two quantities are proportional if their ratio remains constant as the values change.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.