Population Growth (Calculations & Graph)
Not what you're looking for?
Do a spreadsheet on population of animals using the exponential equation: Explain the implications of growth rate for population.Select a positive annual percentage growth rate greater than 0%. Calculate what the future size of the population will be, given the below assumptions: future value r= annual rate of growth expressed as a percent, t = years. Repeat the calculation for SECOND value of t (make sure they are at least 2 years apart from one another. Repeat the calculation for THIRD value of t (make sure they are at least 2 years apart from one another. Graph the results for population growth by % growth rate, vs. time in yrs for all SECOND calculations to t. Graph the results for population growth by % growth rate, vs. time in yrs for all THIRD calculations to t. Explain the implications of this growth rate for the population's resource use and the environment. Explain the likelihood of the above results. Would it be expected that the % growth rate would stay constant over longs periods?
Purchase this Solution
Solution Summary
The solution comprises of detailed calculations and graph pertaining to the given question.
Solution Preview
Please refer to the attachment for the solution.
Let the initial population (P0) of pet dogs in a town be 1000.
If the growth rate for this population is r%, then after t years the population P can be calculated from the following formula:
P =〖 P〗_0 × exp(rt)
Let the annual growth rate for this population of pet dogs be 2%.
After 10 years, the population of pet dogs in the town will be 1000×exp(0.02×10)=1221
After 20 years, the population of pet dogs in the town will be 1000×exp(0.02×20)=1491
After 30 years, the population of pet dogs in ...
Education
- MSc, Osmania University
- MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
- BSc, Banaras Hindu University
Recent Feedback
- "Very fast turnaround. Excellent communication! Much appreciated!"
- "excellent"
- "excellent"
- "excellent work"
- "Fantastic..great solution and very well explained!!!!"
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.