Question

For problems 5 and 6, use this information. Claire writes the expression 3(n+1)/3 to represent the output when her input n is placed into a number machine.

5. Describe the possible steps of the number machine.

6. Describe how the output is related to the input.

Answer 1

5) The number machine takes an input n and performs steps such as adding 1, multiplying by 3, and dividing by 3.

6) The output is related to the input through an expression involving these steps.

Step-by-step explanation:

Claire writes the expression 3(n+1)/3 to represent the output, thus:

5) The number machine takes an input n and performs the following steps:

1. Add 1 to the input n
2. Multiply the new value by 3
3. Divide the result by 3

6) The output is related to the input by the expression 3(n+1)/3.

This means that the output is always equal to the input value n, plus 1, multiplied by 3, and then divided by 3.