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You work for a video streaming company that has two monthly plans to choose from:

Plan 1: A flat rate of $7 per month plus $2.50 per video viewed
Plan 2: $4 per video viewed

Match "true" to statements that are true and "false" with statements that are not true

Week 5 - Math 8 - Assessment
9 of 99 of 9 Items










Question
POSSIBLE POINTS: 15.38

Match "True" to statements that are True and "False" with statements that are not True.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Plan 1 will always cost more than plan 2
Plan 1 is nonproportional and Plan 2 is proportional
You would have to view at least 5 videos for Plan 1 to be the cheaper than Plan 2

This is a good graph for the scenario

1 answer

Let's analyze the plans to determine the truth of each statement provided.

  1. Plan 1 will always cost more than Plan 2.

    • Not true. Plan 1 has a flat fee of $7 and costs $2.50 per video viewed, while Plan 2 costs $4 per video viewed. Depending on the number of videos viewed, Plan 1 can be cheaper than Plan 2. For example, if you view 1 video, Plan 1 costs $9.50 and Plan 2 costs $4. If you view enough videos, Plan 1 can become cheaper.
    • Response: False

  2. Plan 1 is nonproportional and Plan 2 is proportional.

    • True. Plan 1 has a fixed monthly fee plus a variable cost based on the number of videos viewed, making it nonproportional. Plan 2 charges only based on the number of videos viewed, which is a proportional relationship.
    • Response: True

  3. You would have to view at least 5 videos for Plan 1 to be cheaper than Plan 2.

    • Not true. To determine the break-even point between the two plans, you can set up an equation:

      • Plan 1: $7 + $2.50x
      • Plan 2: $4x

      Setting them equal: 7 + 2.50x = 4x

      This simplifies to: 7 = 4x - 2.50x 7 = 1.50x x = 7 / 1.50 = 4.67

    Since you cannot view a fraction of a video, you would need to view 5 videos for Plan 1 to be less than Plan 2; thus this statement is true.

    • Response: True

  4. This is a good graph for the scenario.

    • Without seeing the graph, I cannot determine if it is accurate or not. However, a good graph would display the cost of both plans as a function of the number of videos viewed and show the point where they intersect. This statement remains indeterminate without additional information.
    • Response: (Leave this one blank or indicate you cannot assess without the graph.)

To summarize:

  • Plan 1 will always cost more than Plan 2: False
  • Plan 1 is nonproportional and Plan 2 is proportional: True
  • You would have to view at least 5 videos for Plan 1 to be cheaper than Plan 2: True
  • This is a good graph for the scenario: (indeterminate or blank)