Input/Output Tables

Front

What is an Input/Output Table?

Back

An Input/Output Table is a mathematical table that shows how each input value is related to an output value through a specific rule or function.

Front

What does the equation y = 8 - \frac{3}{4}x represent?

Back

This equation represents a linear relationship between x and y, where y decreases as x increases.

Front

If x = 8 in the equation y = 8 - \frac{3}{4}x, what is the value of y?

Back

y = 2.

Front

What is the rule for the equation y = 7x?

Back

The rule states that for every unit increase in x, y increases by 7 times that amount.

Front

If y = 7x and x = 4, what is the value of y?

Back

y = 28.

Front

How do you find missing values in an Input/Output Table?

Back

To find missing values, use the given rule or equation to calculate the output for the corresponding input.

Front

What are the missing OUTPUT values if the inputs are 2 and 3 in the equation y = 2x + 1?

Back

For x = 2, y = 5; for x = 3, y = 7.

Front

What does it mean if an Input/Output Table is linear?

Back

It means that the relationship between input and output can be represented by a straight line on a graph.

Front

What is the output when the input is -2 in the equation y = 8 - \frac{3}{4}x?

Back

y = 8 + 1.5 = 9.5.

Front

How can you determine if a table matches a given equation?

Back

Substitute the input values from the table into the equation and check if the output values match.