Question

The cost to purchase a song from iTunes is $.99 per song to purchase a song from Napster. You must be a member the Napster membership fee is $10 in addition to each song cost $.89 how many downloaded songs must be purchased for the monthly price of Napster to be the same as iTunes songs.

Answer 1

What is the cost for the number of downloads?

Answer 2

If you download it 75 Songs, which Pl. should you purchase from?

Answer 3

Let \( x \) be the number of songs downloaded.

The cost to purchase \( x \) songs from iTunes is:
\[
0.99x
\]

The cost to purchase \( x \) songs from Napster is the membership fee plus the cost per song:
\[
10 + 0.89x
\]

To find the number of songs where the costs are equal, we set the two expressions equal to each other:
\[
0.99x = 10 + 0.89x
\]

Now, we will solve for \( x \):

1. Subtract \( 0.89x \) from both sides:
\[
0.99x - 0.89x = 10
\]

2. Simplifying the left side gives:
\[
0.10x = 10
\]

3. Now, divide both sides by \( 0.10 \):
\[
x = \frac{10}{0.10} = 100
\]

So, you would need to download **100 songs** for the monthly price of Napster to be the same as purchasing songs from iTunes.

Answer 4

To find the total cost for downloading 100 songs from both iTunes and Napster, we can calculate as follows:

1. **Cost of downloading from iTunes**:
\[
\text{Cost from iTunes} = 0.99 \times 100 = 99 \text{ dollars}
\]

2. **Cost of downloading from Napster**:
- The membership fee is $10.
- The cost per song is $0.89, so for 100 songs:
\[
\text{Cost from Napster} = 10 + (0.89 \times 100) = 10 + 89 = 99 \text{ dollars}
\]

So, the total cost for downloading 100 songs from both iTunes and Napster is **$99**.

Answer 5

To determine which platform is cheaper for downloading 75 songs, let's calculate the total cost for both iTunes and Napster.

1. **Cost of downloading from iTunes**:
\[
\text{Cost from iTunes} = 0.99 \times 75 = 74.25 \text{ dollars}
\]

2. **Cost of downloading from Napster**:
- The membership fee is $10.
- The cost per song is $0.89, so for 75 songs:
\[
\text{Cost from Napster} = 10 + (0.89 \times 75) = 10 + 66.75 = 76.75 \text{ dollars}
\]

Now, comparing the costs:
- **iTunes**: $74.25
- **Napster**: $76.75

Since $74.25 (iTunes) is less than $76.75 (Napster), you should purchase from **iTunes** for downloading 75 songs.