Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities, expressed in the form y = kx.

Front

How do you express a proportional relationship?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If y = 15x, what is the constant of proportionality?

Back

The constant of proportionality (k) is 15.

Front

What does it mean if k = 1.50 in a proportional relationship?

Back

It means that for every unit increase in x, y increases by 1.50 units.

Front

If the relationship is not proportional, what can we say about k?

Back

If the relationship is not proportional, k is undefined or not applicable.

Front

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

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values.

Front

What is the constant of proportionality if y = 30x?

Back

The constant of proportionality (k) is 30.

Front

If k = 2/3, what does this indicate about the relationship between x and y?

Back

It indicates that y is two-thirds of x.

Front

What does it mean if k = 0 in a proportional relationship?

Back

If k = 0, it means that y is always 0 regardless of the value of x.

Front

How do you find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by determining the slope of the line that passes through the origin.