Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two quantities that are directly proportional to each other.

Front

What does the constant of proportionality represent in a proportional relationship?

Back

It represents the unit rate or the factor by which one quantity changes in relation to another.

Front

If y is directly proportional to x, how can you express this relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

How do you find the constant of proportionality from a table of values?

Back

Divide the value of y by the value of x for any pair of corresponding values.

Front

If the constant of proportionality is 5, what does this mean in a real-world context?

Back

For every 1 unit of x, y increases by 5 units.

Front

What is the relationship between the constant of proportionality and slope in a graph?

Back

The constant of proportionality is the slope of the line in a graph of a proportional relationship.

Front

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

Back

It means that as x increases, y increases but at a slower rate.

Front

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

Back

It means that as x increases, y increases at a faster rate.

Front

What is an example of a constant of proportionality in a real-life situation?

Back

If a car travels 60 miles in 1 hour, the constant of proportionality is 60 miles per hour.