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What is the value of y in the inverse variation table where (1, y), (2, 11), and (4, 1)?

Mathematics

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The problem states that the relationship is an inverse variation. For an inverse variation between two quantities, say NN (Number of items) and CC (Cost), their product is a constant, kk.
So, N⋅C=kN \cdot C = k.

From the table, we have three pairs of (N,C)(N, C) values:

  1. (1,y)(1, y)
  2. (2,11)(2, 11)
  3. (4,1)(4, 1)

Step 1: Check for consistency in the given data.
Using the second pair (2,11)(2, 11):

k=2×11=22k = 2 \times 11 = 22

Using the third pair (4,1)(4, 1):

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