Question

assessment: 25 - 26_hisd_cadfa_hs_mth_e_alg2_9.17

1. estefani is designing the manufacturing that will produce packing material for a particular computer chip. the packing material needs to be within 0.8 mm of the desired thickness, which is 18.0 mm.

which equation can estefani use to represent the limits of the width, w, of the packing material?
a. |0.8 - w| = 18.0
b. |18.0 - w| = 0.8
c. |18.0 + w| = 0.8
d. |0.8 + w| = 18.0

Explanation:

Step1: Understand absolute - value meaning

The absolute - value equation \(|a - b|\) represents the distance between \(a\) and \(b\). Here, the desired thickness is \(18.0\) mm and the allowable deviation is \(0.8\) mm. The distance between the actual width \(w\) of the packing material and the desired thickness \(18.0\) mm should be \(0.8\) mm.

Step2: Form the absolute - value equation

The equation that represents the distance between the actual width \(w\) of the packing material and the desired thickness \(18.0\) mm being \(0.8\) mm is \(|18.0 - w|=0.8\).

Answer:

B. \(|18.0 - w| = 0.8\)