Suppose you wanted to send the movie to a friend via your cellphone. You find that you can upload about 39.3 Megabits per second. Using the fact that 1 megabit = 125 kilobytes use fraction multiplication to find out how long it would take to send the movie Oppenheimer to your friend. Express your answer as a unit of time that is reasonable.

To find out how long it will take to send the movie, we first need to break the problem into manageable steps. Here’s the approach:

1. **Convert the upload speed to a more usable unit:**
   - The upload speed is given as \( 39.3 \) Megabits per second (Mbps).
   - Given that \( 1 \) Megabit = \( 125 \) kilobytes, let's convert the upload speed from Megabits per second to kilobytes per second:
   \[
   39.3 \text{ Megabits per second} \times 125 \text{ kilobytes per Megabit} = 4912.5 \text{ kilobytes per second}
   \]

2. **Estimate the size of the movie:**
   - The movie *Oppenheimer* has an approximate file size of \( 4 \) GB (this can vary based on quality, but we will assume \( 4 \) GB for simplicity).
   - Convert \( 4 \) GB to kilobytes:
   \[
   4 \text{ GB} = 4 \times 10^9 \text{ bytes}
   \]
   \[
   4 \text{ GB} = 4 \times 10^9 \text{ bytes} \div 1000 = 4 \times 10^6 \text{ kilobytes} = 4,000,000 \text{ kilobytes}
   \]

3. **Calculate the time required:**
   Now that we know the upload speed in kilobytes per second and the movie size in kilobytes, we can calculate the time to upload the movie:
   \[
   \text{Time} = \frac{\text{Total file size}}{\text{Upload speed}} = \frac{4,000,000 \text{ kilobytes}}{4912.5 \text{ kilobytes per second}}
   \]
   Let's calculate that:

\[
\text{Time} = 814.74 \text{ seconds}
\]

4. **Convert time into a more reasonable unit:**
   We can convert \( 814.74 \) seconds to minutes:
   \[
   814.74 \text{ seconds} \div 60 = 13.58 \text{ minutes}
   \]

So, it would take approximately **13.6 minutes** to upload and send the movie.

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Would you like more details on any part of this solution?

Here are 5 related questions for further exploration:
1. What would happen if the upload speed varied during the upload?
2. How would the time change if the movie size were doubled?
3. How does download speed affect the time it takes for your friend to receive the movie?
4. What is the difference between Megabits and Megabytes, and how do they affect transmission times?
5. How would adding compression affect the upload time?

**Tip:** Always double-check whether your upload and download speeds are measured in Megabits (Mb) or Megabytes (MB); they are quite different!

Find out how long it takes to upload the Oppenheimer movie using an upload speed of 39.3 Mbps. This problem involves converting upload speeds from megabits to kilobytes and calculating the time required to send a 4 GB file. Suitable for high school students in Grades 9-12.

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