Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does the constant of proportionality represent?

Back

It represents the constant ratio between two proportional quantities, often denoted as 'k'.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

What is the equation of a proportional relationship?

Back

The equation is typically written as y = kx, where k is the constant of proportionality.

Front

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

Back

The constant of proportionality is 5.

Front

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

Back

It means that the relationship is not proportional.

Front

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

Back

'k' stands for the constant of proportionality.

Front

If the constant of proportionality is 3, what is the value of y when x = 4?

Back

y = 3 * 4 = 12.

Front

Which of the following represents a non-proportional relationship: y = 2x + 1 or y = 3x?

Back

y = 2x + 1 is non-proportional because it does not pass through the origin.

Front

What is the graphical representation of y = 0.5x?

Back

It is a straight line that passes through the origin with a slope of 0.5.