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. What is the range of acceptable values?

Answer 1

C) f(x)=|42.67-x|.

Explanation:

Production will be stopped if the difference in diameter is greater than 0.002 mm.

This difference can mean that the golf ball has a diameter more than 0.002 larger than 42.67 mm, or a diameter more than 0.002 smaller than 42.67. This is the reason for using an absolute value function.

Absolute value represents the distance a number is from 0. For this function, we would want only the values where the function is less than 0.002.

Answer 2

42.668 mm to 42.672 mm.

Explanation:

According to given situation, Production will be stopped if the discrepancy in diameter is greater than 0.002 mm.

The difference in the limits are,

42.67 - 0.002 = 42.668

42.67 + 0.002 = 42.672

Therefore, the range of acceptable values are 42.668 mm to 42.672 mm

0.002 larger than 42.67 mm, or a diameter more than 0.002 smaller than 42.67. This is the reason for using an absolute value function.

Absolute value represents the distance a number is from 0. For this function, we would want only the values where the function is less than 0.002.