Q:

# 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. What is the range of acceptable values?

Accepted Solution

A:
Using function theory, the function that could represent this situation is f(x) = Β |42. 67 β x| .It is given thatThe standard diameter of the golf ball = is 42.67Allowable discrepancy = Β±0.002So upper limit of diameter = 42.672The lower limit of diameter = 42.668We need a function that can help in finding a discrepancy.What is a function?A function is a rule which determines the relation between two variables.The correct function that could represent this situation will be f(x ) = |42. 67 β x| Where x is the diameter of the ball produced.For example, if a ball of diameter 42.665 is producedf(x) = Β |42. 67 β x| f(42.665) = Β |42. 67 β 42.670| = 0.005 which is more than the permitted tolerance i.e 0.002.So, one can easily decide whether to stop production or not.Therefore, the function that could represent this situation is f(x) = Β |42. 67 β x| .To get more about function visit: