Proportional Relationships in Tables FLASHCARD

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 determine if a relationship is proportional using a table?

Back

If the ratios of corresponding values in the table are equal, then the relationship is proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'.

Front

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

Back

Divide the value of y by the value of x for any pair of corresponding values.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit.

Front

If you travel 240 miles on 6 gallons of gas, what is the unit rate of miles per gallon?

Back

40 miles per gallon.

Front

What does it mean if a table shows a non-proportional relationship?

Back

It means that the ratios of the quantities are not constant.

Front

If the unit rate is 5, what does that mean in terms of proportional relationships?

Back

It means that for every 1 unit of x, y increases by 5.

Front

What is the formula to find the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), is this a proportional relationship?

Back

Yes, because the ratio of y to x is constant (2:1).