Respuesta :
Answer: Answer below ⬇️
Step-by-step explanation:
(a) To find out how many deer will be present after 6 years, we can use
the given population growth model: A = 299/1 + 12e^0.75). Substitute t = 6
into the equation to get A = 299/1 + 12e^(0.75*6)). Calculate this
expression to find the number of deer present after 6 years.
The carrying capacity in this model is the maximum number of deer the island can sustain. The carrying capacity is the value that A approaches as t becomes very large. In this case, as t approaches infinity, the carrying capacity is 299, which means the island can sustain 299 deer in the long run.
To determine how many years it will take for the herd to grow to 75
deer, we need to solve the equation 75 = 299/1 + 12e^(0.75*t)) for t. After
solving this equation for t, round your answer to the nearest whole number to find out how many years it will take for the herd to reach 75 deer.
I hope this helps!
