How do I know how to do the rate of change?
Number of Albums Number of Tracks
2 16
4 32
6 48
8 64
10 80
What is the rate of change of the number of tracks Sully’s band records with respect to each album the band releases?
A.
2 tracks per album
B.
17 tracks per album
C.
8 tracks per album
D.
6 tracks per album
To determine the rate of change of the number of tracks Sully's band records with respect to each album the band releases, you need to find the difference in the number of tracks for each pair of album recordings and divide it by the difference in the number of albums.
In this case, the difference in the number of tracks between album recordings is always 16 (since each album has 16 more tracks than the previous one), and the difference in the number of albums is always 2.
So, the rate of change is the difference in tracks (16) divided by the difference in albums (2), which is 16/2 = 8.
Therefore, the rate of change of the number of tracks Sully's band records with respect to each album the band releases is 8 tracks per album.
The correct answer is C. 8 tracks per album.