Proportional Relationships

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 quantity 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 graph?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not represent a constant ratio between the two quantities, often shown by a line that does not pass through the origin.

Front

If the cost of 4 pounds of grapes is $24.36, how do you find the constant of proportionality?

Back

Divide the total cost by the number of pounds: k = 24.36 / 4 = 6.09.

Front

Write the equation relating weight (w) to price (p) if the constant of proportionality is 0.45.

Back

p = 0.45w.

Front

What is the equation of a line that represents a proportional relationship with a constant of 8?

Back

y = 8x.

Front

How can you tell if a relationship is proportional from a table of values?

Back

If the ratios of corresponding values (y/x) are the same for all pairs, the relationship is proportional.

Front

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

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality.

Front

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

Back

The constant of proportionality is 3.