Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How can the constant of proportionality be found?

Back

The constant of proportionality can be found by calculating the unit rate, which is the ratio of the two quantities.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

What does a proportional relationship look like on a graph?

Back

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

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

If the constant of proportionality is 0.2, what does this mean in practical terms?

Back

It means that for every unit increase in x, y increases by 0.2 units.

Front

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

Back

The origin (0,0) signifies that when the independent variable (x) is zero, the dependent variable (y) is also zero, indicating a direct proportionality.

Front

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

Back

To determine the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

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

Back

In a proportional relationship, the slope of the line is equal to the constant of proportionality.

Front

Can the constant of proportionality be a negative number?

Back

Yes, the constant of proportionality can be negative, indicating an inverse relationship between the two quantities.