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Determine the pattern rule (Molao) from the input-output pairs: (1, 7), (2, 5), (3, 6). Assume a linear rule y = mx + c.

Mathematics

ScanSolve AI Answer

Here's how to solve the problem:

First, we need to determine the pattern rule (Molao) from the given input and output pairs.
The diagram shows the following input-output relationships:

  • Input 1 gives Output 7
  • Input 2 gives Output 5
  • Input 3 gives Output 6

Let's analyze these pairs to find a consistent rule.
If we consider a linear rule of the form y=mx+cy = mx + c:
Using (1, 7) and (2, 5):

  1. m(1)+c=7  ⟹  m+c=7m(1) + c = 7 \implies m + c = 7
  2. $m(2) + c = 5 \implies 2m + c =
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