Proportionality STAAR Practice

Front

What is proportionality?

Back

Proportionality refers to the relationship between two quantities where their ratio remains constant. If one quantity increases, the other increases at a consistent rate.

Front

What is the constant of proportionality?

Back

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

Front

How do you write an equation for a proportional relationship?

Back

To write an equation for a proportional relationship, identify the constant of proportionality (k) and use the formula y = kx.

Front

What does the slope of a line represent in a proportional relationship?

Back

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

Front

If y = -1/3 x - 3, is this a proportional relationship?

Back

No, because the equation includes a constant (-3) which means it does not pass through the origin.

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal when comparing different pairs of values.

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, where y and x are corresponding values.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship between the two variables.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

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

Back

To identify the constant of proportionality from a table, divide the y-values by the corresponding x-values and check if the result is constant.