Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship where the ratio of two quantities remains constant.

Front

What is the constant of proportionality?

Back

The constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

If the cost of 4 pounds of grapes is $24.36, what is the constant of proportionality?

Back

6.09 (calculated as 24.36 / 4).

Front

What type of relationship is represented if the ratio of y to x is constant?

Back

Proportional.

Front

What does a proportional graph look like?

Back

A straight line that passes through the origin (0,0).

Front

What is the equation of a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What is a unit rate?

Back

A comparison of two different quantities when they are combined together, expressed as a quantity of 1.

Front

What is the unit rate in the relationship of 60 miles in 1 hour?

Back

60 miles/1 hour.

Front

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

Back

Divide the output value (y) by the input value (x) for any pair of values.

Front

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

Back

The relationship between distance and time when traveling at a constant speed.