Exponential Growth - SKITTLES POPULATION GROWTH LAB



Exponential Growth - SKITTLES POPULATION GROWTH LAB Name:________________________________________________________________________ Date: _________________ Score: _____/24 A new insect has been discovered in Texas! They are lively little creatures called Wiggies. They reproduce asexually (by themselves). Reproduction is triggered when the underside of a Wiggie is exposed to light. You have found a population of three Wiggies living outside the school in an old dead tree! Simulate the reproduction of these three Wiggies with the following experiment. Follow all directions precisely.Choose three skittles at random from the cup, and place them on the plate.Cover that plate with another, grasp firmly, and shake. Place on the desk and carefully remove the top plate.For each skittle that is showing its “s”, add another to the plate from the supply cup. (If 1 is showing its ‘s’, add1, if 2 are, then add 2).This completes the 1st generation:How many did you add? Place that number in the appropriate spot in the table.How many skittles are there total? Place that # in the correct place in the table.Repeat step #2 and 3 until you do not have enough skittles to populate the next generation.Generation ## of added WiggiesTotal Wiggies3 points: 1 point per data column completed correctlyLab #1 Questions:***THESE ARE ESTIMATIONS! Based on your data you have collected, give your best estimation for the following questions.(2 points: 1 point per question) What would you predict the total population to be after the next generation? How about the generation after that?(1 point) How many generations do you think that it would have taken to reach a population of 1000 skittles?Use the graphing calculator to finish the rest of the lab questions.(1 point) Enter the data from the generation number column in L1 (STAT EDIT). This will be the label for the _________________________ axis.(1 point) Enter the data from the total population column in L2 (STAT EDIT). This will be the label for the _____________________ axis.(5 points: 1 point for xmin, xmax, and xscl all recorded, 1 point for ymin, ymax, and yscl all recorded, 1 point for x axis labeled, 1 point for y axis labeled, 1 point graph sketch) Using the instructions given, create a stat plot (2nd Y = ) on the calculator of the two lists. (Window button) Provide your window below.xmin=ymin=xmax=ymax=xscl=yscl=Then press graphing. Draw a sketch of your window to the right. → (1 point) Calculate an exponential regression equation for your data ( STAT – CALC -). What is your equation? ________________________________(3 points: 1 point per question, 1 point for explanation) According to the equation, what was the initial population? _______________ According to your lab data, what was the initial population? __________ Explain why these numbers might not be the same.(1 point) According to the regression equation, what is the growth rate (look at multiplier) for your population of skittles? _______________________(2 points: 1 point for question, 1 point for explanation) Based on the experiment, does this growth rate seem logical? Explain.(4 points: 1 point for each question part in lab question a, 1 point for lab question 2 answer, 1 point for accuracy) Enter the regression equation on the Y= screen. Using the graph, re-answer lab questions 1 and 2. Place those answers below. How accurate were you? ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download