Proportional Relationships in Tables

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 in a table?

Back

You can identify a proportional relationship in a table by checking if the ratios of corresponding values are equal.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If you earn $525 in 3 days, what is your unit rate per day?

Back

$175 per day.

Front

If you earn $32 in 2 days, what is your unit rate per day?

Back

$16 per day.

Front

What does it mean if two quantities are directly proportional?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

Is the relationship between the amount earned and the number of days worked always proportional?

Back

Yes, if the amount earned increases consistently with the number of days worked.

Front

What is the formula to find the unit rate?

Back

Unit Rate = Total Amount / Number of Units.

Front

If a table shows the amount earned over different days, how can you check for proportionality?

Back

Calculate the unit rates for each entry and see if they are the same.

Front

What is the significance of a constant ratio in proportional relationships?

Back

A constant ratio indicates that the two quantities are proportional and can be represented by a straight line through the origin on a graph.