Input/Output Tables

Front

What is an input/output table?

Back

An input/output table is a mathematical tool used to show the relationship between input values and output values based on a specific rule or function.

Front

What does it mean to multiply by a constant in an input/output table?

Back

Multiplying by a constant means that each input value is multiplied by the same number to produce the corresponding output value.

Front

If the rule is to multiply by 12, what is the output when the input is 3?

Back

The output would be 36, since 3 multiplied by 12 equals 36.

Front

How do you find a missing output value in an input/output table?

Back

To find a missing output value, apply the rule to the given input value.

Front

If the input is 6 and the rule is to multiply by 9, what is the output?

Back

The output is 54, since 6 multiplied by 9 equals 54.

Front

What is the rule if the output is 72 when the input is 8?

Back

The rule is to multiply by 9, since 8 multiplied by 9 equals 72.

Front

What is the significance of identifying the rule in an input/output table?

Back

Identifying the rule allows you to predict output values for any given input and understand the relationship between them.

Front

How can you express the relationship in an input/output table mathematically?

Back

The relationship can be expressed as a function, such as f(x) = k * x, where k is the constant multiplier.

Front

What is the output when the input is 1 and the rule is to multiply by 1?

Back

The output is 1, since 1 multiplied by 1 equals 1.

Front

If the input is 4 and the output is 48, what is the rule?

Back

The rule is to multiply by 12, since 4 multiplied by 12 equals 48.