Question

Use inductive reasoning to make a conjecture about a rule that relates the number you selected to the final answer. Try to prove your conjecture by using deductive reasoning.

Answer 1

Let:

x = Random number:

$x\in N$

Add 8:

x + 8

Multiply the answer by 12:

(x + 8)*12

Divide the answer by 2:

$\frac{(x+8)12}{2}$

Subtract 6 times the original number:

$\frac{(x+8)12}{2}-6x$

Simplify:

$6x+48-6x=48$