Proportional relationships

Front

What is a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

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

Back

In the equation y = kx, k represents the constant of proportionality, which is the slope of the line.

Front

What is the slope in the equation y = 14x?

Back

The slope is 14.

Front

How can you determine if a relationship is proportional using a table of values?

Back

A relationship is proportional if the ratios of corresponding values are constant.

Front

What does it mean if the rates of change are constant?

Back

If the rates of change are constant, it means that the relationship between the two quantities does not change as the values increase or decrease.

Front

What does it mean if the rates of change are variable?

Back

If the rates of change are variable, it means that the relationship between the two quantities changes as the values increase or decrease.

Front

If k = 2 in a proportional relationship, what does this indicate?

Back

This indicates that for every unit increase in x, y increases by 2 units.

Front

Can a relationship be proportional if it does not pass through the origin?

Back

No, a relationship must pass through the origin (0,0) to be considered proportional.

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.