MAT 122 Quiz: MAT 122 SBU Quiz 2 Solution

• School: Stony Brook University
• Department: Mathematics
• Course: MAT 122
• Professor: All

Document Summary

Question 1: a biologist is studying a population of rabbits in the wild. Each year she counts the total number of rabbits. Her data is given in the table below. Using the formula for average rate of change, the rate for the interval [0, 1] is avgroc = = 20 while the average rate of change for [3, 4] is avgroc = Using the formula for relative change, the relative change for the rst period is relative change = = . 1 = 10% and the relative change for the second period is relative change = The population appears to growing exponentially, because the relative rate of change per year appears to be constant. The formula for exponential growth is p (t) = p0(1 + r)t, where p0 represents the initial popu- lation and r represents the annual growth rate. Using p0 = 200 and r = . 1, we have that the function is.