Final answer:
It would take 16 minutes to download a 1.2GB movie using a 10 Mbps modem after you convert the file size to megabits and divide it by the download speed, then convert the time from seconds to minutes.
Step-by-step explanation:
To calculate the time needed to download a complete full length motion picture of 1.2GB using a 10 Mbps modem, we will first convert the file size from gigabytes to megabits. There are 8,000 megabits in a gigabyte because there are 8 bits in a byte and 1,000 megabytes in a gigabyte. Therefore, 1.2GB is equivalent to 1.2 × 8,000 megabits, which is 9,600 megabits.
Since the modem speed is 10 Mbps, or 10 megabits per second, we can now calculate the time to download the file by dividing the total file size in megabits by the download speed:
Time (seconds) = File Size (megabits) / Download Speed (megabits per second) = 9,600 / 10 = 960 seconds
To convert seconds to minutes, we divide by 60:
Time (minutes) = Time (seconds) / 60 = 960 / 60 = 16 minutes
Therefore, it would take 16 minutes to download a complete full length motion picture of 1.2GB using a 10 Mbps modem.