Pick a number, subtract 10, multiply the answer by 6, divide the result by 2 and subtract three times the original number.

a) Use induction to find a rule that relates the number selected to the final answer.

B) Use deductive reasoning to prove your conjecture

Guest Apr 7, 2020

#1**+1 **

The neat thing about this process is that you will always get -30 as your answer.

a. If you have a number x, then you do all the steps, you'll get:

x

x-10

6(x-10)

(6(x-10)/2

**(6(x-10)/2-3x...this would be an unsimplified rule.**

b. To prove that all numbers make the final result -30, we simplify the rule...

x

x-10

6(x-10)= 6x-60

(6(x-10)/2= 3x-30

**(6(x-10)/2-3x= 3x-30-3x= -30**

This proves that all inputs would create the same -30 output.

*I'm not sure if this fits your problems induction and deductive reasoning requirments, but I hope it gives you an idea on how to do so.

Hope it helps!

HELPMEEEEEEEEEEEEE Apr 7, 2020