Proportional Relationships - 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 do you determine if a table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of the corresponding values are equal.

Front

What is the rate of change in a proportional relationship?

Back

The rate of change is the constant ratio between the two quantities in a proportional relationship.

Front

If a table has the values (2, 4), (4, 8), and (6, 12), does it show a proportional relationship?

Back

Yes, it shows a proportional relationship because the ratio of y to x is constant (2).

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the total amount by the number of units, expressed as \( \text{Unit Rate} = \frac{\text{Total Amount}}{\text{Number of Units}} \).

Front

If a 20-pound bag of dog food costs $47.60, what is the cost per pound?

Back

The cost per pound is \( \frac{47.60}{20} = 2.38 \) dollars per pound.

Front

What does it mean if two quantities are not proportional?

Back

If two quantities are not proportional, it means that the ratio between them is not constant.

Front

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

Back

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

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of apples per pound; if 1 pound costs $2, then 2 pounds cost $4, maintaining a constant ratio.

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.