Question

In Youngtown, the population reached 4420 people in 1993. In 1998, there were 5600 residents. What was the population in the year 2000?

6058

6062

6072

6068

Answer 1

The population in Youngtown in the year 2000 was 6072 people.

Step-by-step explanation:

To find the population in 2000, we need to determine the rate of change between 1993 and 1998 and apply that rate to the population in 1998.

The population increased by 5600 - 4420 = 1180 people in 5 years. The average rate of change per year is 1180 / 5 = 236 people.

To find the population in 2000, we need to add 2 years of growth, which is 236 * 2 = 472 people. Therefore, the population in 2000 is 5600 + 472 = 6072 people.

Answer 2

Growth rate = (Present - Past)/Past Plugging in what we know Growth rate =(5600â’4420)/4420 Thus Growth rate=.26697 Now we can plug the growth rate into our first formula which gives us P=5600e^(.26697â‹…2) Solve for P and we get P = 9551.58 however since you can not have .58 of a person we round down to 9551. So Youngtown will have 9551 citizens in the year 2000