Jessica wants to record her favorite songs to one cd. The function c=80-3.22n represents the recording time c available after n songs are recorded. Find the zero of this function. Describe what this value means in this context.

Given:

c = 80 - 3.22n

where

c = recording time available

n = number of songs recorded

When c = 0, then

80 - 3.22n = 0

n = 80/3.22 = 24.845

Answer:

The zero of the function is 24.845.

Because songs are countable, it means that after 24 songs are recorded, there will be no room to record additional songs.

Furthermore, there will not be enough room to finish recording the

25-th song.