Concept explainers
A wildlife manager determines that there are approximately 200 deer in a certain state park.
a. The population is growing at a rate of
b. If the carrying capacity of this park is 350 deer, how long will it take for the deer population to reach carrying capacity?
i.
To calculate: A wildlife manager determines that there are approximately 200 deer in a certain state park. The population is growing at the rate of 7% per year. How many deer will live in the park after 4 years?
Answer to Problem 16P
After 4 years 262 deer will live in the park
Explanation of Solution
Given information: The number of deer is 200 and the growing rate is 7%
Calculation: Here we can use compound interest formula of exponential growth formula
Using
Here rate growth factor is
Conclusion:
ii.
To calculate: A wildlife manager determines that there are approximately 200 deer in a certain state park. If the carrying capacity of this park is 350 deer, how long it will take for the deer population to reach carrying capacity?
Answer to Problem 16P
It will take between 8to 9 years to have 350 deer
Explanation of Solution
Given information: From part (i), we have
Calculation: here
Taking logarithmic function both sides, we get
From logarithmic table, we have
Conclusion: It will take between 8to 9 years to have 350 deer.
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