Proportional Tables and Equations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

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

Which equation represents a proportional relationship?

Back

y = kx, where k is a non-zero constant.

Front

How do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values are constant.

Front

What does the equation y = 1/2x represent?

Back

It represents a proportional relationship where for every 1 unit increase in x, y increases by 1/2.

Front

What is the slope of the line in a proportional relationship?

Back

The slope is equal to the constant of proportionality (k) in the equation y = kx.

Front

How can you write an equation from a proportional table?

Back

Identify the constant of proportionality and use it to write the equation in the form y = kx.

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always 0.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

How do you convert a proportional relationship into a word problem?

Back

Translate the relationship into a scenario that describes how one quantity depends on another.