Question

sully is a vocalist in a rock band. the table provided shows the number of tracks his band records and the respective number of albums consisting of those recordings.

what is the rate of change of the number of tracks sullys band records with respect to each album the band releases?

6 tracks per album
8 tracks per album
2 tracks per album
17 tracks per album

Explanation:

Identify given data points

$$ (x_1, y_1) = (2, 16),\quad (x_2, y_2) = (4, 32) $$

Calculate rate of change

$$ \text{Rate} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{32 - 16}{4 - 2} = \frac{16}{2} = 8 $$

Verify with another interval

$$ \text{Rate} = \frac{48 - 32}{6 - 4} = \frac{16}{2} = 8 $$

Answer:

• 6 tracks per album
• 8 tracks per album (Correct answer)
• 2 tracks per album
• 17 tracks per album