Exponential Growth of Bear Population in Mathematics 172 Quiz #1 - Prof. Re Howard, Quizzes of Mathematics

Download Exponential Growth of Bear Population in Mathematics 172 Quiz #1 - Prof. Re Howard and more Quizzes Mathematics in PDF only on Docsity! Mathematics 172 Quiz #1 You must show your work to get full credit. Four bears are introduced into a park. The growth rate of the bear population is .25 bears/year. (1) What is the number, Nt, of bears after t years? Solution: The formula for exponential growth is Nt = (1 + r) tN0. In our case N0 = 4 and r = .25. Thus Nt = 4(1.25) t (2) How long until the population of bears reachs 100? Solution: We wish to solve the equation Nt = 100 for t. That is to solve the equation 4(1.25)t = 100. Divide by 4 (1.25)t = 25 Take the natural logarithm t ln(1.25) = ln(25) and thus t = ln(25) ln(1.25) = 14.42513488years