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This is the feedback for CMA104Q02 in English.


The second item in this unit explores non-linear behavior (specifically, exponential decay) to determine the approximate value of car D after three years of ownership. While the scenario of a person buying a new car is continued, this item intentionally focuses on a different car so as not to suggest what the correct answer is to the previous item, which students could return to. Using the given information that a car in excellent condition loses 5% of its value each year, car D would be worth about 9002.44 zeds after three years, so the correct answer to this item is 9000.

Students had to decide on a process to employ to determine how much the car would be worth after three years. While previous experience having studied exponential decay could be beneficial to students for this item, it is not necessary. That is, some students may have recognized this as exponential decay and applied a formula such as v = 10 500(0.95)3, while students who had not formally studied this topic still had enough information available to them to solve this using a more iterative process [e.g., 10 500 – (10 500 * 0.05) = 9975; 9975 – (9975 * 0.05) = 9476.25; etc.]. The crucial piece for students that used some type of iterative approach was understanding that because the value of the car changed every year, each computation uses a new starting amount.

Unit Name – Item #   Car Purchase – CMA104Q02
Content Area   Change and Relationships
Process   Employ
Context   Personal
Item Format   Simple Multiple Choice - Computer Scored
Answer   9000
Estimated Difficulty   Level 6