Input Output Tables

Front

What is an input-output table?

Back

An input-output table is a mathematical representation that shows how each input value corresponds to an output value based on a specific rule or function.

Front

How do you calculate the total number of items needed based on a given quantity?

Back

To calculate the total number of items needed, multiply the number of items per unit by the number of units.

Front

What is a function rule?

Back

A function rule is a mathematical expression that defines the relationship between input and output values.

Front

If a function adds 2 to each input, what would be the output for an input of 5?

Back

The output would be 7, since 5 + 2 = 7.

Front

What is the significance of missing values in an input-output table?

Back

Missing values in an input-output table can be determined by applying the function rule to the known values.

Front

How can you represent a relationship between two quantities in a table?

Back

You can represent a relationship between two quantities in a table by listing input values in one column and their corresponding output values in another column.

Front

What does it mean if one team earns more than another in a comparative table?

Back

It means that the difference in their earnings can be represented as a constant value added to the lower team's earnings.

Front

How do you find a missing input value in a function table?

Back

To find a missing input value, you can use the function rule to reverse-calculate the input from the known output.

Front

What is the relationship between multiplication and addition in input-output problems?

Back

Multiplication can be seen as repeated addition; for example, multiplying by 5 is the same as adding a number five times.

Front

How do you interpret a table showing stickers earned by two teams?

Back

You can compare the values in the table to see how many more stickers one team earned than the other.