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Appendix B: Orchard Grower Case Worksheet

Name_________________________________________________ Date___________________________

Instructions: Your apple orchard contains 20 apple trees. The fruit from each apple tree is worth $100 so your orchard is worth $2,000. Codling moths have recently infested your orchard. In Utah, codling moths undergo three generations during the growing season and each generation has the potential to damage your apple crop. Roll the die to determine the number of apple trees you will lose during each generation of codling moth. For each generation, calculate the total number of apple trees that are remaining and the resulting worth of your orchard. At the end of the three rounds of infestations, calculate the final number of apple trees in your orchard and the end worth of your orchard. Then answer the questions at the end of this record sheet. After finishing round 3, answer the questions on the following page.

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Starting # of apple trees: 20 Starting worth of orchard: $2,000

Generation 1 Current # of Apple Trees: # Rolled on the Die: Remaining # of Apple Trees: Updated Orchard Value:

Generation 2 Current # of Apple Trees:

Generation 3 Current # of Apple Trees: # Rolled on the Die: Remaining # of Apple Trees: Updated Orchard Value:

# Rolled on the Die: Remaining # of Apple Trees: Updated Orchard Value:

Name_________________________________________________ Date___________________________

1. How many apple trees did you lose after three generations of codling moth infestation?

2. What was the total monetary loss of your orchard at the end of the activity?

3. Most apple orchards contain a lot more than 20 trees. For example, a 50-acre farm may contain 500 trees per acre for a total of 25,000 apple trees! Imagine if you had 25,000 trees, but lost 5,000 trees after the first generation of codling moth, 1,000 trees after the second generation, and then 500 trees after the third generation. Assuming that each tree is worth $100, calculate how much money you lost in the season.

4. Invasive species cause monetary loss for growers by damaging crops, but the growers also spend a lot of time and money trying to control invasive species. Let’s say that it costs $200 to control codling moth at each generation ($600 total). However, since control efforts aren’t always successful, you may only be able to save half of your trees at each generation. Using the information for the 50acre orchard provided in question 3 above, re-calculate the total number of apple trees after each generation of codling moth and the value of your orchard at the end of the season. When you calculate the value of your orchard, be sure to take into account the $600 you spent trying to control codling moth. What is the final worth of your orchard now?

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