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Decide whether each equation, table, or story represents a proportional relationship. 4 + x = y y = x/4 4/x...

Decide whether each equation, table, or story represents a proportional relationship.
4 + x = y
y = x/4
4/x = y
0.04x = y
Jacy walked 4 miles in 100 minutes at a steady pace.
y = 4x

Answer

  1. 4 + x = y: Not Proportional. This equation does not represent a proportional relationship because it includes an addition term.

  2. y = x/4: Proportional. This equation represents a proportional relationship because it can be written in the form y = kx, where k is a constant (k = 1/4).

  3. 4/x = y: Not Proportional. This equation does not represent a proportional relationship because it involves division by x.

  4. 0.04x = y: Proportional. This equation represents a proportional relationship because it is in the form y = kx, where k is a constant (k = 0.04).

  5. Jacy walked 4 miles in 100 minutes at a steady pace: Proportional. This situation represents a proportional relationship because the distance and time are in a constant ratio.

  6. y = 4x: Proportional. This equation represents a proportional relationship because it is in the form y = kx, where k is a constant (k = 4).

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