Question

The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the golf balls it manufactures. Golf balls are randomly measured to ensure the correct size. If the discrepancy in diameter is more than 0. 004 mm, the production is stopped. Which function could represent this situation?.

Answer 1

Discrepancy is the difference of a the value from the uniform distribution. The function for the given situation can be given as,

$f(x)=|x|-42.67$

Hence the option 2 is the correct option.

Given information-

The standard diameter of the golf ball is 42.67 mm.

The discrepancy in the diameter is 0.004 mm.

What is discrepancy?

Discrepancy is the difference of a the value from the uniform distribution.

Suppose the discrepancy is x mm.

If the discrepancy in diameter is more than 0. 004 mm, the production is stopped.

As the discrepancy of 0.004 mm or more is stopped the production, we have to subtract the diameter to the discrepancy .

Thus the function for the situation can be given as,

$f(x)=-42.67+|x|$

Rearrange for the x,

$f(x)=|x|-42.67$

Thus the function for the given situation can be given as,$f(x)=|x|-42.67$

Hence the option 2 is the correct option.

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