Levar claims that the number of movies he streams is proportional to the amount of data he uses. He has listed the number of movies streamed and the amount of data he used for a few months:

August: 15
movies watched; 27.3
GB of data used
September: 8
movies watched; 14.56
GB of data used
October: 31
movies watched; 56.42
GB of data used
November: 19
movies watched; 34.58
GB of data used
December: 24
movies watched; 43.68
GB of data used

Which methods would help Levar prove his claim?

Select all that apply.

Responses

Levar could create a table listing the number of movies he streamed each month and the amount of data he used for those months to prove that equivalent ratios exist.
Levar could create a table listing the number of movies he streamed each month and the amount of data he used for those months to prove that equivalent ratios exist.

Levar could divide the amount of data he used in December by the number of movies he streamed in December to find out how much data each movie used.
Levar could divide the amount of data he used in December by the number of movies he streamed in December to find out how much data each movie used.

Levar could plot data points based on the number of movies he streamed each month and the amount of data he used for those months to create a straight line on the graph that passes through the origin.
Levar could plot data points based on the number of movies he streamed each month and the amount of data he used for those months to create a straight line on the graph that passes through the origin.

Levar could create equations based on the data collected to prove that as the number of movies he streamed increased, the amount of data he used also increased.

1 answer

To help Levar prove his claim that the number of movies he streams is proportional to the amount of data he uses, the following methods would be appropriate:

  1. Levar could create a table listing the number of movies he streamed each month and the amount of data he used for those months to prove that equivalent ratios exist.

    • This method allows for visual comparison of the ratios of the number of movies to the amount of data used, which can help establish whether they are equivalent.
  2. Levar could divide the amount of data he used in December by the number of movies he streamed in December to find out how much data each movie used.

    • This calculation can help establish whether a constant value exists (the ratio of data used per movie), indicating proportionality.
  3. Levar could plot data points based on the number of movies he streamed each month and the amount of data he used for those months to create a straight line on the graph that passes through the origin.

    • A straight line through the origin in this graph would indicate a direct proportional relationship between the two quantities.
  4. Levar could create equations based on the data collected to prove that as the number of movies he streamed increased, the amount of data he used also increased.

    • Formulating an equation can demonstrate that there is a linear relationship between the number of movies and data used, reinforcing his claim of proportionality.

Thus, all four methods would effectively help Levar prove his claim.