There are 30 000 zebras in Horadina. The number of zebras decreases by 4% each year due to poaching. Each year 5 000 zebras are born, but 1 500 die in infancy.
Write a difference equation to describe this, stating clearly the terms you use.
Any help would be appreciated!
Is the answer Sn+1 = 1.04(Sn) + 3640, S0= 30 000, N=1,2,3...?
Hello, Mr Rayon!
pickslides is correct.
There are 30,000 zebras in Horadina.
The number of zebras decreases by 4% each year due to poaching.
Each year 5,000 zebras are born, but 1,500 die in infancy.
Write a difference equation to describe this, stating clearly the terms you use.
The population decreases by 4% each year.
Hence, each year, there is only 96% of the preceding population.
And each year, surviving baby zebras are added.
Therefore: .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
The closed form is: .