Question

A rain gauge is accurate within 0.5 mm of the true rain height. One Sunday

afternoon, it reads a height of 60mm. Formulate an absolute value equation, where
r is the true rain height, that can help you figure out the least rain height possible
and the greatest rain height possible.

Answer 1

Answer: 59.5 ≤ r ≤ 60.5

Explanation:

Given that :

Accuracy range = ±0.5 of true value

True height of rain (r) = 60mm

Absolute value equation to find the least and greatest height if rain possible ;

|r| = 0.5

To remove the absolute value sign ;

|r| ± 0.5

r = 60mm

60 - 0.5 ≤ r ≤ 60 + 0.5

59.5mm ≤ r ≤ 60.5mm

Hence,

Greatest height possible = 60.5mm

Least height possible = 59.5 mm