Question

19. The population of a small town is 47,288 and has been continuously declining at a rate of 2.4% each year. What is the

approximate population of the town in 21 years? (2 points)
28,567
23,455
78,277
O 28,392

Answer 1

Given :

The population of a small town is 47,288 and has been continuously declining at a rate of 2.4% each year.

To Find :

The approximate population of the town in 21 years.

Solution :

Let, new population after x years is P.

So, P is given by :

`P = 47288* ( 1- 0.024)^x\\\\P = 47288* (0.976)^x`

Now, putting value of x = 21 in above equation, we get :

`P = 47288* (0.976)^(21)\\\\P = 28392`

Therefore, option d) is correct.