Question

Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%. Answer the questions that follow to continue Gavin’s analysis.

Answer 1

50,000 * 5%x where x = Gavin's level

This way if Gavin is level 1, the zombies would be 50,000 * 5% and if Gavin was level 2 the zombies would be 50,000 * (5% * 2) which can also be seen as 50,000 * 10%

Each time Gavin levels up the zombies increase by 5% by using the equation 50,000 * 5%x

Hope it helps you :)

Answer 2

Initial Population of Zombie, that is when the player is on level one =50,000

Rate at which population of Zombie is growing when a player is moving to next Level =5%

So, When a Player is on nth level , the population of zombie

                $=A\times (1+\frac{r}{100})^n\\\\=50,000\times (1+\frac{5}{100})^n$