AnswersVA-Mathematical AnalysisStep Functions — Unit testQuestion 6
6
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Step Functions — Unit test

Question 6 • VA-Mathematical Analysis

The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?

Answer
A
f(x ) = x – |42.67|
B
f(x ) = |x| – 42.67
C
f(x ) = |42.67 – x|
D
f(x ) = 42.67 – |x|

Explanation

The discrepancy is the distance between a measured diameter x and the standard diameter 42.67 mm. Distance is represented by the absolute value |42.67 − x|, which is choice C. The factory would stop production when this value is greater than 0.002 mm.

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