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Lesson Plan 2: Very Varied - Inverse Variation
The questions below dealing with inverse variation have been selected from state assessments. Although the lesson above may not fully equip students with the ability to answer all such test questions successfully, students who participate in active lessons like this one will eventually develop the conceptuunderstanding needed to succeed on these and other state assessment questions.
Taken from New York Regents High School Examination, August 2002:
To balance a seesaw, the distance, in feet, a person is from the fulcrum is inversely proportional to the person's weight, in pounds. Bill, who weighs 150 pounds, is sitting 4 feet away from the fulcrum. If Dan weighs 120 pounds, how far from the fulcrum should he sit to balance the seesaw?
A. 4.5 ft
B. 3.5 ft
C. 3 ft
D. 5 ft (correct answer)
Taken from the Massachusetts Comprehensive Assessment, Grade 10 (Spring 2002):
Which of the following equations does not represent a linear relationship?
A. xy = 12 (correct answer)
B. x + y = 12
C. y = 12x
D. x - y = 12
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