Question

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

Explanation:

Step1: Recall absolute value definition

The absolute value equation \(|A| = B\) (where \(B\geq0\)) means \(A = B\) or \(A=-B\). Here, \(A=x - 55\) and \(B = 4.2\).

Step2: Analyze maximum speed

To find the maximum safe speed, we want the larger value of \(x\). From the absolute value definition, \(x-55 = 4.2\) will give a larger \(x\) (since \(x-55=- 4.2\) will give a smaller \(x\) when solved for \(x\)). So the equation to find the maximum safe driving speed is \(x - 55=4.2\).

Answer:

A. \(x - 55 = 4.2\)