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

Question

Responses:

3.99×10^3 seconds

3.99×10^5 seconds

3.99×10^4 seconds

0.399×10^6 seconds

Answer 1

To find the total playtime of Jim's music library in seconds, we first need to calculate the total playtime in minutes and then convert that to seconds.

1. Calculate the total playtime in minutes: \[ \text{Total playtime (in minutes)} = \text{Number of songs} \times \text{Average time per song} \] \[ = 1,900 \text{ songs} \times 3.5 \text{ minutes/song} = 6,650 \text{ minutes} \]

2. Convert the total playtime from minutes to seconds: \[ \text{Total playtime (in seconds)} = \text{Total playtime (in minutes)} \times 60 \text{ seconds/minute} \] \[ = 6,650 \text{ minutes} \times 60 \text{ seconds/minute} = 399,000 \text{ seconds} \]

3. Express this in scientific notation: \[ 399,000 = 3.99 \times 10^5 \text{ seconds} \]

So, the answer is \(3.99 \times 10^5 \text{ seconds}\).