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What is the constant of proportionality in terms of cost per song?

To find the constant of proportionality (cost per song), we can calculate the cost for one song by dividing the total cost by the number of songs for any of the rows in the table. Let's compute that for all three rows.

1. For 16 songs:  
\[
\frac{17.60}{16} = 1.10
\]

2. For 18 songs:  
\[
\frac{19.80}{18} = 1.10
\]

3. For 20 songs:  
\[
\frac{22}{20} = 1.10
\]

In all cases, the cost per song is $1.10.

Thus, the constant of proportionality is **$1.10 per song**.

Would you like further details or have any questions?

Here are five related questions you might want to explore:
1. How do you determine if a relationship is proportional?
2. What happens to the total cost if you download 25 songs?
3. How would the total cost change if the cost per song increased to $1.20?
4. Is it always necessary to use all the values in the table to find the constant of proportionality?
5. Can the constant of proportionality ever be negative?

**Tip**: When dealing with proportional relationships, remember that the constant remains the same across all values.

Learn how to find the constant of proportionality for the cost of downloading songs. In this problem, we calculate the cost per song by dividing the total cost by the number of songs. For 16, 18, and 20 songs, the cost per song is consistently $1.10. This topic covers key concepts such as proportionality, unit rate, and division. Suitable for Grades 6-8.

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