| Individual Illegal Downloaders Next on Entertainment Industry Hit List | Posted: 09.03.03 |  |
Read the following article. Click on the questions block and post your answers to the questions in the weblog.
Conversions: 1 gigabyte = 1000 megabytes 1 CD = 700 megabytes (This data item was taken from a package of CDs; other sizes may be available.)
*Remember "1 gigabyte = 1000 megabytes" the fractions "1 gigabyte / 1000 megabytes" and "1000 megabytes / 1 gigabyte" both equal one.
(Multiplying by one preserves identity (x * 1 = x), so multiplying a measurement by one of these fractions produces an equivalent measurement. Since (x*1*1*1 = 1) multiple changes can be made at once.)
"How many CDs does it take to hold 5 gigabytes of files?" 5 gigabytes * (1000 megabytes / 1 gigabyte) * (1 CD / 700 megabytes) = (5 gigabytes /1) * (1000 megabytes / 1 gigabyte) * (1 CD / 700 megabytes) = (Note: Draw a slash through the bolded units of measure to show canceling) (5 * 1000* 1 CDs) / (1 * 700) = 5000 CDs / 700 = 7.142857... CDs
How does this problem change if we wanted to know how many songs fit in five gigabytes of files? If 1 CD = 80 minutes of playing time (copied from the label of a package of CDs) 1 song = 2.5 minutes of music (A typical song lasts from 2 to 3 minutes. Emphasize that our final answer will be only a rough estimate, but it will help us understand the size of five gigabytes.)So it would take 8 CDs to hold 5 gigabytes of files.
Solution: "How many songs fit in five gigabytes of files?" 5 gigabytes * (1000 megabytes / 1 gigabyte) * (1 CD / 700 megabytes) * (80 min. / 1 CD) * (1 song / 2.5 min.) = 5 gigabytes * (1000 megabytes / 1 gigabyte) * (1 CD / 700 megabytes) * (80 min. / 1 CD) * (1 song / 2.5 min.) = (Note: Draw a slash through the bolded units of measure to show canceling) (5 * 1000 * 1 * 80 * 1 song) / (1* 700 * 1 * 2.5) = (400,000 songs / 1750) = about 228.571... songs or about 229 songs.
In Moodle, complete the activity and submit your work in the Assignment.
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