1)Here are Spock's given assumptions of Tribble population growth: * Initial population = 1 * 3 days on Space Station * No deaths while on board * 10 offspring per litter of Tribles * 12 hours between generations * All individuals can have babies (Dr. McCoy says, "They are born pregnant.") Using these assumptions complete the following table for the number of Tribbles at a given time.

2)Graph the points from Question 1 below. First decide on appropriate scales for the axes. One square in the x-direction = hours. One square in the y-direction = tribbles.

3)Write out an exact exponential for the population of Tribbles using the assumptions given in Question 1 wherettis the number of hours of growth. PP=

4)Compute an exponential regression using your calculator and enter the results below. Check out the video if you need calculator help. a = b =

5)How many Tribbles are on the space station after 3 days (72 hours)? Was Spock's calculation correct?

6)What if the Tribble population grew linearly instead of exponetially? Use the points (0, 1) and (12, 11) to write a linear equation for population growth. P(t)=P(t)=

7)Populations rarely grow at a linear rate. But they can also not grow exponentially forever, due to limited resources (food, water, space, etc.) Spock mentions this as an assumption but does not use this in his calculation. What would the population curve look like if there were only enough resources for one million tribbles on the space station? Sketch the curve below. The vertical grid has units of 100,000 tribbles per square