Final answer:
The average per week flow rate of students to the gym is 2700 visits, which is determined by calculating the number of visits for each group and then summing them up.
Step-by-step explanation:
To calculate the average per week flow rate of students to the gym at a CUNY college with 1000 students in the spring of 2021, where 30 percent use the gym twice a week and 70 percent use the gym three times a week, we first determine the number of gym visits per group:
- 30% of 1000 students = 300 students use the gym twice a week: 300 students * 2 visits = 600 visits
- 70% of 1000 students = 700 students use the gym three times a week: 700 students * 3 visits = 2100 visits
To find the total number of visits per week, we add the visits from both groups:
600 visits (twice a week group) + 2100 visits (three times a week group) = 2700 visits per week.
The average flow rate is therefore the total number of visits divided by the number of days in a week:
2700 visits per week / 7 days = approximately 385.71 students per day.
Thus, the correct answer is (a) 2700.