Question

question 3 2 points one subtracted from twice the current temperature in a small town in alaska results in an answer of 5, if absolute value vertical bars are in the right place. the temperature is either -2 or 3 degrees fahrenheit. which equation fits this situation? \\( 1 - |2x| = 5 \\) \\( |2x| - 1 = 5 \\) \\( |2x - 1| = 5 \\) \\( |2x - 5| = 1 \\)

Explanation:

Step1: Define variable for temperature

Let $x$ = current temperature (°F)

Step2: Translate "twice the temperature"

$2x$

Step3: Translate "one subtracted from twice temp"

$2x - 1$

Step4: Set equal to absolute value 5

$\vert 2x - 1 \vert = 5$

Step5: Verify solutions

For $x=-2$: $\vert 2(-2)-1 \vert = \vert -5 \vert = 5$
For $x=3$: $\vert 2(3)-1 \vert = \vert 5 \vert = 5$

Answer:

$\vert 2x - 1 \vert = 5$