Question

There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp. Each year, 10 new crocodiles join the swamp.

Part A: Write functions to represent the number of alligators and crocodiles in the swamp throughout the years. (4 points)

Part B: How many alligators are in the swamp after 4 years? How many crocodiles are in the swamp after the same number of years? (2 points)

Part C: After approximately how many years is the number of alligators and crocodiles the same? Justify your answer mathematically. (4 points)

Answer 1

Part A: f(x)=(5)x+20(alligators) and f(x)=(10)x+25(crocodiles)

Part B: f(x)=(5)(4)+20(alligators) and f(x)=(10)(4)+25(crocodiles)
Alligators: 40 and Crocodiles: 65

Part C: None because the rate of the alligators won't catch up with the rate of crocodiles.