Proportional Relationships Review

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, often represented in the equation y = kx.

Front

How do you identify a proportional relationship from a table?

Back

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

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is typically written as y = kx, where k is the constant of proportionality.

Front

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

Back

The constant of proportionality is 3.

Front

If y = 24.7x, what does 24.7 represent?

Back

24.7 represents the constant of proportionality in the relationship between y and x.

Front

What does the equation y = 2.50x represent in a real-world context?

Back

It represents a situation where for every unit increase in x, y increases by $2.50.

Front

How can you find the value of y when x = 16 in the equation y = 3x?

Back

Substitute x with 16: y = 3(16) = 48.

Front

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

Back

The slope represents the constant of proportionality and indicates how much y changes for a unit change in x.

Front

If the constant of proportionality is 24.7, what is the value of y when x = 1?

Back

y = 24.7(1) = 24.7.