Exponential growth occurs in a series of time steps—days, months, years, or generations. I...

Exponential growth occurs in a series of time steps—days, months, years, or generations. Imagine cockroaches in a room multiplying (or some other species, if you must). Picture a population of ten cockroaches that together produce enough young to increase at a rate of 150 percent per month. What is r for this population?

To find out how this population grows, fill out the table shown. (Hint: r remains constant.) Remember, for time step 0 (the first month), you begin with ten roaches, and end (Ne) with a larger number that depends on r, the intrinsic rate of growth. The beginning of the second time step (1) starts with the number at the end of step 0. Round N to the nearest whole number. When you are done, graph the results. At the end of 7 months, how large did this population become? What is the shape of the growth curve?