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slega [8]
3 years ago
13

Sally generates an input-output table using two rules. The input rule is “add 2 2” and the starting number is 3 3. The output ru

le is “add 4 4” and the starting number is 6 6. The table is shown. ​ ​ Which ordered pairs follow the same rules as the pattern in the table? Select two answer choices. A (9,12)(9,12) B (11,22)(11,22) C (15,25)(15,25) D (17,36)(17,36) E (21,42)(21,42)
Mathematics
1 answer:
boyakko [2]3 years ago
7 0

9514 1404 393

Answer:

  B  (11, 22)

  E  (21, 42)

Step-by-step explanation:

The numbers in the input sequence are ...

  i_n=i_1+d(n-1)\\\\i_n=3+2(n-1) = 2n+1

The numbers in the output sequence are ...

  o_n=o_1+d(n-1)\\\\o_n=6+4(n-1)=4n+2=2(2n+1)\\\\o_n=2\times i_n

So, the ordered pairs we're looking for have an output value that is double the input value.

The two that match this characteristic are ...

  B(11, 22) and E(21, 42)

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