Final answer:
To find the amount of years it will take for there to be approximately 450 deer on the island, set up the equation 160 + 0.2(160)y = 450 and solve for y. The result is approximately 906.25 years.
Step-by-step explanation:
To find the amount of years it will take for there to be approximately 450 deer on the island, we can set up an equation.
Let y represent the number of years.
Since the population of deer is growing by approximately 20% per year, we can use the equation:
160 + 0.2(160)y = 450.
Now we can solve for y.
160 + 0.32y = 450
0.32y = 290
y = 290/0.32
y ≈ 906.25 years