Answer :
The expected wait time for 80 people in line is 15 minutes, following a proportional relationship. Option b: 24 minutes.
If the wait time is proportional to the number of people in line, we can set up a proportion to find the expected wait time.
Let [tex]\( x \)[/tex] represent the expected wait time when there are 80 people in line.
Using the given information, we have the proportion:
[tex]\[\frac{15}{80} = \frac{x}{80}\]To find \( x \), we cross multiply:\[15 \times 80 = 80x\]\[x = \frac{15 \times 80}{80} = 15 \text{ minutes}\][/tex]
So, the expected wait time when there are 80 people in line is 15 minutes.
Option: b. 24 minutes