Question

In 1999, the nation of Malaysia moved its capital from Kuala Lumpur to Putrajaya because of overcrowding. In 2019, the population of Putrajaya was about 86,900, and in 2020, the population grew to about 110,000.

(a) What was the growth rate (k) from 2019 to 2020?

(b) At that rate of growth, what is the population expected to be in 2024?

(c) If the current growth rate continues, when will the population of Putrajaya reach half a million?

Answer 1

A) 1.26582278x or 12.6582278%

B) 282412.759

C) 2027

Explanation:

A) 86900 -> 110000

110000 / 86900

= 1.26582278

The growth rate is 1.26582278x or 12.6582278%

B) 110000 -> ...

110000 * (1.26582278)^4

= 110000 * 2.56738872

= 282412.759

(Not sure if your teacher will want you to round this down because 0.759 people don't exist)

C) 110000 -> ... > 500000

We can just go through and slowly increasing

2021:

110000 * 1.26582278

= 139240.506

2022:

139240.506 * 1.26582278

= 176253.804

2023:

176253.804 * 1.26582278

= 223106.08

2024:

223106.08 * 1.26582278

= 282412.758

2025

282412.758 * 1.26582278

= 357484.502

2026

357484.502 * 1.26582278

= 452512.026

2027

452512.026 * 1.26582278

= 572800.031

2027 is when the population will reach 500000.