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  • 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 A. and maximum speeds (in miles per hour) according to the equation |x – 55| =

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 A. 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? A. x – 55 = 4.2 B. x – 55 = –4.2 C. x + 55 = 4.2 D. x + 55 = –4.2

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\\ \text{Speeds to be between the minimum and maximum speeds} \\ \text{(in miles per hour) according to the equation} \\ \\ |x-55|=4.2$. To deter mine the required equation. Note that $|x-55|=4.2$ means that $x-55=4.2$ or $x-55=-4.2$ which gives that $x=4.2+55$ or \\ \\ $x=-4.2+55$ resulting in $x=59.2$ or $x=50.8$. $\therefore$ The equation $x-55=4.2 \\ \\ \text{is the equation that results in the maximum safe driving speed.}

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Deependra Verma

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