3. A person wants to download episodes of a favorite TV show to their cell phone. Each 20-minute episode will use about 0.3 Gabybytes (GB) of space. There are 9 GB of space available on the cell phone. At most, how many minutes of the show can be downloaded?
Answer: A
At most, 600 minutes of the show can be downloaded.
Given that each 20-minute episode uses approximately 0.3 GB of space and there are 9 GB available on the cell phone, it is possible to download a total of 600 minutes of the show.
A) 600 minutes
This option is correct because if each 20-minute episode uses 0.3 GB, then 9 GB can accommodate 30 episodes (9 GB ÷ 0.3 GB/episode = 30 episodes). Since each episode is 20 minutes long, the total time is 30 episodes × 20 minutes/episode = 600 minutes.
B) 50 minutes
This option is incorrect. If only 50 minutes of the show were downloaded, this would equate to 2.5 episodes (50 minutes ÷ 20 minutes/episode = 2.5 episodes). The space used would be 2.5 episodes × 0.3 GB/episode = 0.75 GB, which is far less than the available 9 GB.
C) 30 minutes
This option is also incorrect. Downloading 30 minutes corresponds to 1.5 episodes (30 minutes ÷ 20 minutes/episode = 1.5 episodes), utilizing 0.45 GB of space (1.5 episodes × 0.3 GB/episode). This is well below the 9 GB limit, meaning significantly more could be downloaded.
D) 500 minutes
This option is incorrect as well. While 500 minutes may sound plausible, it translates to 25 episodes (500 minutes ÷ 20 minutes/episode = 25 episodes). This would use 7.5 GB of space (25 episodes × 0.3 GB/episode), leaving some space available but still not the maximum that can be downloaded.
Conclusion
In conclusion, the maximum time that can be downloaded is definitively 600 minutes, as it fully utilizes the available 9 GB of storage without exceeding it. All other options underestimate the capacity based on the space each episode requires, confirming that only option A is correct.