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Which table of ordered pairs represents a proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 4, negative 5. Column 2 is labeled y with entries 3, 2, 1.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 1, negative 3, negative 5. Column 2 is labeled y with entries 1, 3, 5.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 4, negative 6. Column 2 is labeled y with entries negative 5, negative 7, negative 9.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 3, negative 4. Column 2 is labeled y with entries 0, negative 1, negative 2.

Answer :

facundo3141592

The table that represents a proportional relation is the second table, it represents a proportional relationship with a constant k = -1

Which table represents a proportional relationship?

Notice that a proportional relationship is of the form:

y = k*x

Where k is the constant of proportionality.

Notice that if we increase the value of x by 1, then we get:

y = k*(x + 1) = k*x + k

Also, notice:

y/x = k

Each column has 3 pairs of values x-y, just take the quotient between each pair and check if you get the same value of k for the 3 pairs.

With that in mind, we conclude that the second table:

  • x: -1, -3, -5
  • y: 1, 3, 5

This is a proportional relationship with a constant k = -1

So this is the correct option.

If you want to learn more about proportional relationships:

https://brainly.com/question/12242745

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