Final answer:
Regardless of the number of people and eggs decreasing proportionally from 8 to 7, it will still take 8 minutes for 7 people to eat 7 eggs since each person eats at a rate of 1/8 of an egg per minute.
Step-by-step explanation:
To determine how long it will take 7 people to eat 7 eggs, we can compare this situation to the provided information that 8 people can eat 8 eggs in 8 minutes. This comparison helps us understand the rate at which the eating takes place.
First, let's consider the fact that 8 people eating 8 eggs in 8 minutes means that each person eats one egg in 8 minutes. Therefore, the rate of eating per person is 1/8 of an egg per minute. If we have 7 people, they would also eat at a rate of 1/8 of an egg per minute.
Now, if there are 7 eggs to be consumed by 7 people, with each person eating at a rate of 1/8 of an egg per minute, it will still take each person 8 minutes to eat their one egg.
The number of people and the number of eggs has decreased proportionally, but the rate of consumption per person stays the same.
Hence, 7 people will eat 7 eggs in 8 minutes, just as it would take 8 people to eat 8 eggs in the same amount of time.