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

Answer:

• The function that could represent the situation is f(x) = |x - 42.67| > 0.002, where x and f(x) are in mm.

Explanation:

That the discrepancy in diameter is more than 0.002 mm means that the difference between the measured diameter of a ball and the standard diameter is greater than 0.002.

That is:

• Difference between the measured diameter and the standard diameter = absolute value of X - 42.67 mm = |X - 42.67 mm|

• Greater than 0.002 mm ⇒ |x - 42.67 mm| > 0.002 mm

So, the function is f(x) = |x - 42.67| > 0.002, where x and f(x) are in mm.

Answer 2

Answer:

First one is B f(x) = (42.67-x)

Second is 42.6668 mm, 42.673 (options b and d)

Hope this helps

Checked on edge