AP Bio Equations and Formulas Review Sheet, Cheat Sheet of Biology

Download AP Bio Equations and Formulas Review Sheet and more Cheat Sheet Biology in PDF only on Docsity! AP BIO EQUATIONS AND FORMULAS REVIEW SHEET #4 – Answer Key Formulas: Rate Population Growth Exponential Growth Logistic Growth dY/dt dN/dt = B – D Nr dt dN max=       − = K NK Nr dt dN max dY = amount of change B = birth rate D = death rate N = population size K = carrying capacity rmax = maximum per capita growth rate of population Notes dt dN = t N ∆ ∆ = timeinchange sizepopulationinchange = population growth rate Example 1: There are 300 falcons living in a certain forest at the beginning of 2013. Suppose that every year there are 50 falcons born and 30 falcons that die. a. What is the population growth rate (include units)? Interpret the value. dN/dt = B – D = 50 – 30 = 20 falcons/year. Each year the falcon population will increase by 20 falcons. b. What is the per capita growth rate of the falcons over a year? Interpret the value. Nr dt dN max= so 20 = rmax 300 so rmax = .067 The falcon population will increase by 6.7% each year. c. Fill in the table and construct a graph. Year Population 2013 300 2014 320 2015 341 2016 364 2017 388 2018 414 d. Find the average rate of change for the falcon population from 2013 to 2018 (include units). Interpret the value. We have two data points: (2013, 300) and (2018, 483). Average rate of change = slope 8.22 20132018 300414 = − − = ∆ ∆ = x y slope falcons/year. Over the past five years, the falcon population has increased by 22.8 per year on average. Example 2: Kentwood, Michigan had a population of 49,000 in the year 2013. The infrastructure of the city allows for a carrying capacity of 60,000 people. rmax = .9 for Kentwood.