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Which table of ordered pairs represents a proportional relationship?

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Which table of ordered pairs represents a proportional relationship? need help ASAP-example-1

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Answer:

  • Table 3 represents a proportional relationship

============================

Proportional relationship has the form of:

  • y = kx, where k- coefficient of proportionality

The value of k should be same for any pair of coordinates:

  • k = y/x

Let's test it for each table

Table 1

  • k = 8/4 = 2
  • k = 11/7 ≠ 2
  • k = 14/10 ≠ 2
  • No

Table 2

  • k = 25/5 = 5
  • k = 49/7 = 7 ≠ 5
  • k = 81/9 = 9 ≠ 5
  • No

Table 3

  • k = 3/6 = 1/2
  • k = 5/10 = 1/2
  • k = 7/14 = 1/2
  • Yes

Table 4

  • k = 3/6 = 1/2
  • k = 11/8 ≠ 1/2
  • k = 18/13 ≠ 1/2
  • No
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