Explore BrainMass
Share

# Population Growth (Calculations & Graph)

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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?

© BrainMass Inc. brainmass.com March 22, 2019, 3:35 am ad1c9bdddf
https://brainmass.com/math/consumer-mathematics/population-growth-calculations-graph-622620

#### 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 ...

#### Solution Summary

The solution comprises of detailed calculations and graph pertaining to the given question.

\$2.19