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Lapatulllka [165]
3 years ago
6

The following problem describes procedures that are to be applied to numbers. Repeat the procedure for four numbers of your choi

ce. Write a conjecture that relates the result of the process to the original number selected. Select a number. Multiply the number by 88. Add 88 to the product. Divide this sum by 44. Subtract 2 from the quotient.
Mathematics
1 answer:
mart [117]3 years ago
8 0

Answer:

Conjecture: For every number x, the result of the is 2x

Step-by-step explanation:

First Number: 8

Multiply by 88: 88 * 8 = 704

Add 88: 704 + 88 = 792

Divide by 44: 792/44 = 18

Subtract 2: 18 - 2 = 16

Second: 10

Multiply by 88: 88 * 10 = 880

Add 88: 880+88=968

Divide by 44: 968/44=22

Subtract 2: 22-2=20

Third: 5

Multiply by 88: 88*5 = 440

Add 88: 440+88=528

Divide by 44: 528/44=12

Subtract 2: 12-2=10

Fourth: 2

Multiply by 88: 88*2=176

Add 88: 176+88=264

Divide by 44: 264/44=6

Subtract 2: 6-2=4

On a general terms:

Let the number be x.

Multiply by 88: 88x

Add 88: 88x + 88

Divide by 44: \frac{88x + 88}{44} = \frac{88x}{44} + \frac{88}{44} = 2x+2

Subtract 2: 2x + 2 - 2 = 2x

Notice that for every input x, the result is 2x

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