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

How can you identify a proportional relationship from a graph?

Back

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

Front

What does the scale 1cm = 8km mean?

Back

It means that every 1 centimeter on the map represents 8 kilometers in actual distance.

Front

If two cities are 24cm apart on a map with a scale of 1cm = 8km, what is the actual distance?

Back

The actual distance is 192 km (24cm x 8km/cm).

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is 1.

Front

If a job pays $56 for 8 hours of work, what is the pay per hour?

Back

The pay per hour is $7 ($56 ÷ 8 hours).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is a constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

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

Back

Divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

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

Back

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