Question

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 1

The absolute value function that could represent this situation is:

$|D - 42.67| = 0.002$

The absolute value function is defined by:

$|x| = x, x \geq 0$

$|x| = -x, x < 0$

• It measures the distance of a point x to the origin.

The diameter should be of 42.67 mm with an allowance of 0.002 mm. Thus, the absolute value of the difference between the diameter and of 42.67 should be of 0.002, that is:

$|D - 42.67| = 0.002$

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