The wait time to ride a roller coaster is 20 minutes when 160 people are in line. At this rate, how long is the wait time when 220 people are in line?
Just use ratios:
time/220 = 20/160
time = 220(20/160) = 27.5 minutes
220 / 160 = 1.375
20 * 1.375 = 27.5
27.5 minutes
To determine the wait time when 220 people are in line, we can assume that the relationship between the number of people and the wait time is linear. This means that the wait time increases proportionally with the number of people in line.
To find the wait time, we need to determine the ratio of the wait time to the number of people in line. We can set up a proportion using the given information:
Wait time / Number of people = Wait time / Number of people
20 minutes / 160 people = x minutes / 220 people
To solve for x, we can cross multiply and solve for the unknown value:
20 minutes * 220 people = x minutes * 160 people
4400 = 160x
Dividing both sides of the equation by 160, we find:
4400 / 160 = x
27.5 = x
Therefore, when there are 220 people in line, the wait time is approximately 27.5 minutes.