College

Jim's music library on his phone holds 1,900 songs, with an average time of 3.5 minutes each. Use scientific notation to find the total number of seconds the playlist will play. Express the answer to the exact decimal place.

A. [tex]3.99 \times 10^5[/tex] seconds
B. [tex]0.399 \times 10^6[/tex] seconds
C. [tex]3.99 \times 10^3[/tex] seconds
D. [tex]3.99 \times 10^4[/tex] seconds

Answer :

To find the total number of seconds the playlist will play, we need to follow these steps:

1. Identify the number of songs and their average length:
- Jim has 1,900 songs.
- Each song has an average length of 3.5 minutes.

2. Convert the average length from minutes to seconds:
- Since each minute has 60 seconds, we can convert 3.5 minutes to seconds by multiplying:
[tex]\[
3.5 \, \text{minutes} \times 60 \, \text{seconds per minute} = 210 \, \text{seconds}
\][/tex]

3. Calculate the total time for all songs in seconds:
- Multiply the number of songs by the average length in seconds:
[tex]\[
1,900 \, \text{songs} \times 210 \, \text{seconds per song} = 399,000 \, \text{seconds}
\][/tex]

4. Express the total time in scientific notation:
- The scientific notation for 399,000 is [tex]\(3.99 \times 10^5\)[/tex].

Therefore, the correct answer is [tex]\(3.99 \times 10^5\)[/tex] seconds.