Final answer:
It would take approximately 28.03 minutes for 11 employees to make 100 sandwiches. Each employee can make 2.27/7 = 0.324 sandwiches per minute.
Step-by-step explanation:
Let's calculate the rate at which the 7 employees make sandwiches by dividing the total number of sandwiches by the total time taken: 100 sandwiches / 44 minutes = 2.27 sandwiches per minute. Since all the employees work at the same rate, each employee can make 2.27/7 = 0.324 sandwiches per minute.
To find how long it would take 11 employees, we can use the rate per employee: 0.324 sandwiches per minute * 11 employees = 3.564 sandwiches per minute. Now we can divide the total number of sandwiches (100) by the rate per minute to find the time it would take: 100 sandwiches / 3.564 sandwiches per minute = 28.03 minutes.