Question

How many people were living in the city after three weeks, given that there were initially 10,000 people, and the population began to decrease exponentially with 8,500 people remaining after six days.

A) 2600
B) 2700
C) 2800
D) 2900

Answer 1

To find the number of people living in the city after three weeks, we need to determine the population decrease rate per week. We can do this by finding the rate of population decrease per day and multiplying it by the number of days in three weeks. The number of people living in the city after three weeks is 5250.

Step-by-step explanation:

To find the number of people living in the city after three weeks, we need to determine the population decrease rate per week. We know that there were initially 10,000 people and after six days, there were 8,500 people remaining. This means the population decreased by 10,000 - 8,500 = 1,500 people in six days.

Next, we need to find the rate of population decrease per day by dividing the decrease in population by the number of days: 1,500 / 6 = 250 people per day.

To find the number of people living in the city after three weeks (21 days), we multiply the rate of population decrease per day by the number of days: 250 * 21 = 5250 people.

Therefore, the number of people living in the city after three weeks is 5250.