Question

on the freeway, it is unsafe to drive too slowly or too quickly. the safest driving speeds on the freew town were scientifically determined to be between the minimum and maximum speeds (in miles per to the equation |x - 55| = 4.2. which equation can be used to determine the maximum safe driving s
○ x - 55 = 4.2
○ x - 55 = -4.2
○ x + 55 = 4.2
○ x + 55 = -4.2

Explanation:

Step1: Recall absolute value equation

The absolute value equation \(|A| = B\) (where \(B\geq0\)) is equivalent to \(A = B\) or \(A=-B\). Here, the equation is \(|x - 55|=4.2\), so this is equivalent to \(x - 55 = 4.2\) or \(x - 55=- 4.2\).

Step2: Analyze maximum speed

To find the maximum safe driving speed, we want the larger value of \(x\). Solving \(x - 55 = 4.2\) gives \(x=55 + 4.2\), and solving \(x - 55=-4.2\) gives \(x = 55-4.2\). Since \(55 + 4.2>55 - 4.2\), the equation \(x - 55 = 4.2\) is used to find the maximum safe speed.

Answer:

A. \(x - 55 = 4.2\)