High School

The wait time to ride the water slide is 15 minutes when there are 80 people in line. How long is the expected wait time if there are 120 people in line? Assume the relationship is proportional.

A. 21.8 minutes
B. 24 minutes
C. 30.5 minutes
D. 48 minutes

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