Proportional Reasoning

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

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

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

What does it mean for an equation to represent a proportional relationship?

Back

An equation represents a proportional relationship if it can be expressed in the form y = kx, where k is a constant.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), is it proportional?

Back

Yes, because the ratio of y to x is constant (2 in this case).

Front

If a table shows the values (1, 2), (2, 5), (3, 6), is it proportional?

Back

No, because the ratios are not constant.

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.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x.

Front

If y = 12 when x = 3, what is the constant of proportionality?

Back

k = 12/3 = 4.

Front

What does it mean if an equation does not represent a proportional relationship?

Back

It means that the relationship between the variables cannot be expressed as a constant ratio.