Question

An inequality that is used to calculate the height h of an adult male from the length r of his radius is | h − (3.32r + 85.43) | ≤ 4.57 where h and r are both in centimeters. Use this inequality to estimate the possible range of heights for an adult male whose radius measures 23.3 centimeters. (Round your answers to one decimal place). The potential stature, to the nearest 0.1 cm, is from cm to cm.

Answer 1

The potential stature is 167.4cm

Explanation:

Given that the expression to estimate height is given as

| h − (3.32r + 85.43) | ≤ 4.57

also given that the radius of an adult male is 23.3cm

let us put r= 23.3 in the expression for the height

| h − (3.32(23.3) + 85.43) | ≤ 4.57

| h − (77.356+ 85.43) | ≤ 4.57

| h − (162.78) | ≤ 4.57

making h subject of the formula we have

h ≤4.57+162.78

h ≤167.35cm

to the nearest 0.1 cm

h≤167.4cm

The potential stature is 167.4cm