Question

The table shows the number of songs that were downloaded and the total cost for buying the songs.


What is the rate of change for the function in the table?

2 songs for $1
$2 per song
4 songs for $1
$4 per song

Answer 1

I’m missing the exact numbers in the table — can you paste the two (number of songs, total cost) pairs?

Meanwhile, here’s how to get the rate of change and the common possibilities based on the choices you listed:

- Rate of change (slope) = (change in cost) ÷ (change in number of songs).
- If the table shows 2 songs for $1 and 4 songs for $2, then slope = ($2 − $1) ÷ (4 − 2) = $1 ÷ 2 = $0.50 per song, which is the same as “2 songs for $1.”
- If the table instead shows 1 song costs $2 and 2 songs cost $4, the slope = ($4 − $2) ÷ (2 − 1) = $2 per song.

Tell me the two table rows and I’ll give the exact answer.