1. So for my computer science course I was given the homework on how to write a program on population growth. The serious dilemma is how to set up the equation. Here are the variables that are given to me:(adsbygoogle = window.adsbygoogle || []).push({});

J = original number of Jackalopes (the imaginary animal that my teacher used)

Y = generation (no specific unit of time)

P = new population after each generation

b = born percentage each generation (3% or 0.03)

d = death percentage each generation (1% or 0.01)

Example: J = 40 Jackalopes

Y = 100 generations

P = new population of 291 Jackalopes after 100 generations

2. The most relevant equation is population growth, which involves exponential functions. the equation looks like

X = X_{0}e^{rt}

where:

X_{0}is the original population

r is the net rate of growth

t is time

The big problem is I can't use exponential functions, because I need to truncate the results and using exponential functions don't give the answer that my teacher is looking for.

3. Here is the attempted solution I came up with:

P = J + (J(0.03-0.01))^{Y}

unfortunately my answer is way off. I recognize the pattern when I attempted to do the equation, but I don't know how to set it up. Please help me!

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# Homework Help: Need help on setting up an equation of population

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