Question

Two rules for creating a pattern are given below. Each rule begins with a number called the input and creates a number called the output.
Rule 1: Divide the input by 2 to get the output.
Rule 2: Subtract by 10 to get the output.
Which input and output table works for both rules?

Answer 1

The input and output table that works for both rules is input = 20 and output = 10.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the output and x represent the input.

From the first rule:

y = x/2

From the second rule:

y = x - 10

To work for both rules:

x/2 = x - 10

x = 2x - 20

x = 20

y = 20 - 10 = 10

The input and output table that works for both rules is input = 20 and output = 10.

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