Unit 3 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

What does it mean for a graph to be proportional?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

What is the formula to find the constant of proportionality from a table?

Back

The constant of proportionality can be found by dividing the output value by the input value (k = y/x).

Front

If y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.

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

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units (e.g., miles per gallon).

Front

If you travel 150 miles on 5 gallons, what is the unit rate in miles per gallon?

Back

The unit rate is 30 miles per gallon.

Front

What is the relationship between weight on Earth and weight on the Moon?

Back

Weight on the Moon is approximately 1/6th of the weight on Earth.