Proportions on 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 is constant.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you travel 232 miles in 4 hours, the unit rate is 232 miles ÷ 4 hours = 58 miles per hour.

Front

What does it mean if a table is not proportional?

Back

A table is not proportional if the ratios of the quantities are not constant or if it does not pass through the origin.

Front

What is the unit rate for 100 apples in 5 trees?

Back

The unit rate is 20 apples per tree (100 apples ÷ 5 trees).

Front

If a table shows 3 trees have 39 apples, what is the unit rate?

Back

The unit rate is 13 apples per tree (39 apples ÷ 3 trees).

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the line representing the relationship passes through the origin (0,0), indicating that when one quantity is zero, the other is also zero.

Front

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

Back

Check if the ratios of the quantities are constant across the table. If they are, the relationship is proportional.

Front

What is the missing value if the table shows 4 hours corresponds to 232 miles?

Back

The missing value is 58 miles per hour (unit rate).

Front

If a table shows 2 trees have 26 apples, what is the unit rate?

Back

The unit rate is 13 apples per tree (26 apples ÷ 2 trees).

Front

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

Back

It means the relationship is not proportional, as proportional relationships require a constant unit rate.