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 indicates how much one quantity changes in relation to another.

Front

What does a constant of proportionality of 45 mean in a real-world context?

Back

It means that for every 1 hour, the quantity increases by 45 units (e.g., miles, dollars).

Front

What is the significance of the point (0, 0) in a graph?

Back

The point (0, 0) is called the origin, and it represents the starting point of the graph where both the x and y values are zero.

Front

How can you identify if a graph is proportional?

Back

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

Front

What does it mean if a graph is described as non-proportional?

Back

A non-proportional graph does not maintain a constant ratio between the x and y values and does not pass through the origin.

Front

If k = 5, what does this indicate about the relationship between x and y?

Back

It indicates that for every increase of 1 in x, y increases by 5.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

What type of line represents a proportional relationship on a graph?

Back

A straight line that passes through the origin represents a proportional relationship.

Front

If a table shows the values (1, 2), (2, 4), (3, 6), what is the constant of proportionality?

Back

The constant of proportionality is 2, as y = 2x.

Front

What does it mean if the constant of proportionality is less than 1?

Back

It means that for every unit increase in x, y increases by a fraction of that unit.