Question

A standard MP3 file at 128 bits per second (Kbps) results in 0.96 MB file size per minute of audioplay. However, there are other possible rates for audio files, even nonstandard ones. Determinethe rate in MB per minute for a file size 3.06 MB that plays for 3.6 minutes.Round to the nearest hundredth MB for rate. You do not need to include a label. Only thenumber is necessary.Review the Linked Section of the Prealgebra Textbook for Problem Helpe

Answer 1

The standard MP3 file has a rate of 128 Kbps, and this is equivalent to 0.96 MBpm (Megabytes per minute). We know that there are 60 seconds in one minute, then:

$\begin{gathered} 128\text{ Kbps }\cdot60s=0.96\text{ MBpm }\cdot1m \\ 7680\text{ Kb }=0.96\text{ MB} \\ 1\text{ MB }=8000\text{ Kb} \end{gathered}$

We need to determine the rate in MB per minute for a file size of 3.06 MB that plays for 3.6 minutes. To do this, we use the equation:

$\text{rate }=\frac{\text{ File size in MB}}{\text{ time}}$

Then:

$\text{rate }=\frac{3.06\text{ MB}}{3.6\text{ minutes}}=0.85\text{ MB per minute}$