Flashcard: Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship where two quantities maintain a constant ratio.

Front

What are the characteristics of a graph that represents a proportional relationship?

Back

It is a straight line that passes through the origin (0,0).

Front

In the equation y = kx, what does 'k' represent?

Back

The constant of proportionality.

Front

How can you determine if a graph shows a proportional relationship?

Back

Check if the graph is a straight line and passes through the origin.

Front

What is the unit rate?

Back

The constant of proportionality expressed as a rate per one unit.

Front

If y = 5x, what is the constant of proportionality?

Back

5.

Front

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

Back

They are the same; both represent the ratio of y to x when x = 1.

Front

If Samantha drives at 30 mph and Tracy drives 60 miles in 2 hours, what is their speed in mph?

Back

Both drive at 30 mph.

Front

What does it mean for two quantities to be directly proportional?

Back

As one quantity increases, the other quantity increases at a constant rate.

Front

What is the formula for finding the constant of proportionality from a table of values?

Back

k = y/x for any pair of corresponding values.