Identifying Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

Front

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

Back

k = 3

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio between the two quantities is not constant.

Front

Identify the constant of proportionality in the equation y = 5x.

Back

k = 5

Front

What is the equation form of a proportional relationship?

Back

y = kx

Front

If k = 1/4, what does this indicate about the relationship?

Back

This indicates that for every 1 unit increase in x, y increases by 1/4.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of y to x are constant.

Front

What is the constant of proportionality if y = 0 when x = 0?

Back

The constant of proportionality is undefined, as it does not represent a proportional relationship.

Front

If the constant of proportionality is k = 2, what is y when x = 4?

Back

y = 2 * 4 = 8.

Front

What does the term 'proportional' mean in mathematics?

Back

Proportional means that two quantities maintain a constant ratio to each other.