Final answer:
To find the lower bound for the number of minutes it takes for all the people to leave at the end of the football match, we divide the total number of people by the rate of people leaving per minute and round up to the nearest 50.
Step-by-step explanation:
To find the lower bound for the number of minutes it takes for all the people to leave at the end of the football match, we need to calculate the lower bound for the number of minutes it takes for all the people to leave. First, we need to calculate how many minutes it takes for 400 people to leave. 400 people per minute would take 1 minute to leave.
Next, we divide the total number of people by the rate of people leaving per minute to find the total number of minutes it takes for all people to leave: 29800 / 400 = 74.5 minutes. Since we are asked to round to the nearest 50 people, we round the number of minutes up to the nearest 50: 75 minutes. Therefore, the lower bound for the number of minutes it takes for all the people to leave is 75 minutes.