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Proportional or Nonproportional?

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  • Determine if the data shown in the table represents a proportional relationship. If yes, give the constant rate of change.
    No
  • Given the equation, determine whether a constant rate of change exists. If yes, identify the constant of proportionality.
    Yes; k=1/2
  • Given the graph, determine whether a constant rate of change exists. If yes, identify the constant of proportionality and write the equation that represents the relationship.
    Yes; k=2; y=2x
  • Given the graph, determine whether a constant rate of change exists. If yes, identify the constant of proportionality and write the equation that represents the relationship.
    Yes; k=-5/2; y=-5/2x
  • Given the table, determine whether a constant rate of change exists. If yes, identify the constant of proportionality and write the equation that represents the relationship.
    No
  • Given the graph, determine whether a constant rate of change exists. If yes, identify the constant of proportionality and write the equation that represents the relationship.
    No
  • Given the table, determine whether a constant rate of change exists. If yes, identify the constant of proportionality and write the equation that represents the relationship.
    Yes; k = 4; y = 4x
  • Given the table, determine whether a constant rate of change exists. If yes, identify the constant of proportionality and write the equation that represents the relationship.
    No
  • Hannah’s pay varies directly to the number of hours she works. If she made $231 for 28 hours of work, identify the constant of proportionality and write an equation to represent the relationship.
    y=8.25x
  • The cost to download songs on a music app varies directly to the number of songs downloaded. If it costs $5.95 to download 7 songs, find the cost to download 20 songs.
    $17
  • Given the equation, determine whether a constant rate of change exists. If yes, identify the constant of proportionality.
    No
  • Determine if the data shown in the table represents a proportional relationship. If yes, give the constant rate of change.
    Yes; 38 words/minute
  • Given the equation, determine whether a constant rate of change exists. If yes, identify the constant of proportionality.
    Yes; k=-1
  • The number of calories in a bag of cookies varies directly to the number of cookies in the bag. If a bag with sixteen cookies contains 1,120 calories, determine how many calories are in five cookies.
    350 calories
  • Given the equation, determine whether a constant rate of change exists. If yes, identify the constant of proportionality.
    No
  • The cost to board a dog at a kennel varies directly to the number of nights in which the dog will stay. If four nights cost $96, identify the constant of proportionality and write an equation to represent the relationship.
    y=24x
  • Given the equation, determine whether a constant rate of change exists. If yes, identify the constant of proportionality.
    No
  • Given the graph, determine whether a constant rate of change exists. If yes, identify the constant of proportionality and write the equation that represents the relationship.
    No
  • Given the table, determine whether a constant rate of change exists. If yes, identify the constant of proportionality and write the equation that represents the relationship.
    Yes; k = -2; y=-2x
  • Given the table, determine whether a constant rate of change exists. If yes, identify the constant of proportionality and write the equation that represents the relationship.
    Yes; k=1/3; y=1/3x
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