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 is constant.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is linear and passes through the origin (0,0).

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 unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How do you find the unit rate from a table?

Back

To find the unit rate from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What does it mean if the unit rate is not constant?

Back

If the unit rate is not constant, it indicates that the relationship between the two quantities is not proportional.

Front

If an object weighs 42 lbs on Earth, how much would it weigh on the Moon if the ratio is 1:6?

Back

7 lbs.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Front

What is the formula for finding a constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are constant.