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This table represents the equation y = 3x + 1. a. Use the equation to complete the table. b. Does the...

This table represents the equation y = 3x + 1.
a. Use the equation to complete the table.
b. Does the equation represent a proportional relationship?
Yes
No
Not enough information

Answer

a. Use the equation y = 3x + 1 to complete the table:

  1. For x = 0, y = 3(0) + 1 = 1
  2. For x = 1, y = 3(1) + 1 = 4
  3. For x = 3, y = 3(3) + 1 = 10
  4. For x = 5, y = 3(5) + 1 = 16
  5. For x = 2.5, y = 3(2.5) + 1 = 8.5

b. Does the equation represent a proportional relationship?

No

The equation y = 3x + 1 is not proportional because it does not pass through the origin (0,0). A proportional relationship must have the form y = kx, where k is a constant.

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