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?

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Answer:

59.0 miles per hour

Step-by-step explanation:

When you have an equation with an absolute value, you must consider two options: one with a positive result and another one with a negative result.

[tex]x-55 = 4.2\\x = 4.2 + 55\\x = 59.2\\\\And\\\\x-55 = -4.2\\x=-4.2 + 55\\x = 50.8[/tex]

In this case you need the maximum safe driving speed which is 59.2 miles per hour

In this case you need the maximum safe driving speed which is 59.2 miles per hour.

[tex]x-55=4.2[/tex] is the equation can be used to determine the maximum safe driving speed.

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given equation

|x – 55| = 4.2

When you have an equation with an absolute value, you must consider two options: one with a positive result and another one with a negative result.

[tex]x - 55 = \pm 4.2[/tex]

[tex]x-55=4.2[/tex]

[tex]x=4.2+55[/tex]

[tex]x=59.2[/tex]

[tex]x - 55 = \pm 4.2[/tex]

[tex]x-55=-4.2[/tex]

[tex]x=-4.2+55[/tex]

[tex]x=50.8[/tex]

In this case you need the maximum safe driving speed which is 59.2 miles per hour.

[tex]x-55=4.2[/tex] is the equation can be used to determine the maximum safe driving speed.

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