Answer:
Conjecture: For every number x, the result of the is 2x
Step-by-step explanation:
First Number: 8
Multiply by 88: [tex]88 * 8 = 704[/tex]
Add 88: [tex]704 + 88 = 792[/tex]
Divide by 44: [tex]792/44 = 18[/tex]
Subtract 2: [tex]18 - 2 = 16[/tex]
Second: 10
Multiply by 88: [tex]88 * 10 = 880[/tex]
Add 88: [tex]880+88=968[/tex]
Divide by 44: [tex]968/44=22[/tex]
Subtract 2: [tex]22-2=20[/tex]
Third: 5
Multiply by 88: [tex]88*5 = 440[/tex]
Add 88: [tex]440+88=528[/tex]
Divide by 44: [tex]528/44=12[/tex]
Subtract 2: [tex]12-2=10[/tex]
Fourth: 2
Multiply by 88: [tex]88*2=176[/tex]
Add 88: [tex]176+88=264[/tex]
Divide by 44: [tex]264/44=6[/tex]
Subtract 2: [tex]6-2=4[/tex]
On a general terms:
Let the number be x.
Multiply by 88: [tex]88x[/tex]
Add 88: [tex]88x + 88[/tex]
Divide by 44: [tex]\frac{88x + 88}{44} = \frac{88x}{44} + \frac{88}{44} = 2x+2[/tex]
Subtract 2: [tex]2x + 2 - 2 = 2x[/tex]
Notice that for every input x, the result is 2x
