7.RP.2 Constant of Proportionality

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 can you identify a proportional relationship from a graph?

Back

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

Front

What does the point (3, 6) represent in a proportional relationship?

Back

It represents that for every 3 units of one quantity, there are 6 units of the other quantity, indicating a ratio of 2:1.

Front

What is the significance of the origin in a proportional graph?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key feature of proportional relationships.

Front

If the constant of proportionality is 4, what does this mean?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 4 units.

Front

What does the point (0, 0) signify in a proportional relationship?

Back

It signifies that there is no quantity of either variable when the other is zero.

Front

How do you determine if a table represents a proportional relationship?

Back

Check if the ratios of corresponding values are constant across the table.

Front

What does the point (5, 10) mean in a real-world context?

Back

It could mean that 5 items cost $10, indicating a price of $2 per item.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

If a graph shows a straight line that does not pass through the origin, what does this indicate?

Back

It indicates that the relationship is not proportional.