1. The problem involves understanding the correct direction of operations for four machines that transform input values to output values. 2. Machine 1 adds 8 to the input to get the output, so the operation is $$\text{Out} = \text{In} + 8$$. 3. Machine 2 divides the input by 3 to get the output, so $$\text{Out} = \frac{\text{In}}{3}$$. 4. Machine 3 subtracts 8 from the input to get the output, so $$\text{Out} = \text{In} - 8$$. 5. Machine 4 divides the input by 4 to get the output, so $$\text{Out} = \frac{\text{In}}{4}$$. 6. The incorrect version reverses the direction, applying the operations to the output to get the input, which is not how the machines work. 7. The correct understanding is that the input goes through the operation to produce the output, not the other way around. 8. Therefore, the correct expressions are as stated in steps 2-5, where input is transformed to output by the given operations.