ROLLERCOASTER At a theme park, a person must be a certain height to ride a rollercoaster. A
person must be h inches tall, plus or minus 1.5 inches. Anoki says the absolute value expression
11.5 -- h| represents an acceptable height. David says the absolute value expression h - 1.51
represents an acceptable height. Who is correct? Explain.
David is correct. Because a person's height will be greater than 1.5 inches, Anoki's
expression will always result in a negative value, which is not a possible height.
Both Anoki and David are correct. Both expressions are equivalent to the difference
between the measurements and are always positive because they give the absolute
value of the difference.
David is correct. Because a person's height will be greater than 1.5 inches, David's
expression will always result in a positive value.
Both Anoki and David are correct. Both expressions are equivalent to the sum of the
measurements and are always positive because they give the absolute value of the
difference.

Question

15-09-2021
Mathematics

contestada

ROLLERCOASTER At a theme park, a person must be a certain height to ride a rollercoaster. A
person must be h inches tall, plus or minus 1.5 inches. Anoki says the absolute value expression
11.5 -- h| represents an acceptable height. David says the absolute value expression h - 1.51
represents an acceptable height. Who is correct? Explain.
David is correct. Because a person's height will be greater than 1.5 inches, Anoki's
expression will always result in a negative value, which is not a possible height.
Both Anoki and David are correct. Both expressions are equivalent to the difference
between the measurements and are always positive because they give the absolute
value of the difference.
David is correct. Because a person's height will be greater than 1.5 inches, David's
expression will always result in a positive value.
Both Anoki and David are correct. Both expressions are equivalent to the sum of the
measurements and are always positive because they give the absolute value of the
difference.

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joaobezerra joaobezerra · Answer 1 · 2021-09-27T17:47:26+02:00

Using absolute value, it is found that the correct option is:

Both Anoki and David are correct. Both expressions are equivalent to the difference between the measurements and are always positive because they give the absolute value of the difference.

-------------------------------------

The absolute value measures the distance between a point x and the origin, and thus:

[tex]|x| = |-x| = x[/tex]

-------------------------------------

The height is h, with an allowance of 1.5.
Anoki says that one allowed height is |1.5 - h|. Since |1.5 - h| = |h - 1.5| = h - 1.5, it gives a height 1.5 less than h, which is allowed, thus, Anoki is correct.
David gives an expression of h - 1.5, which is a modification of Anoki expression, also correct.
Thus, the correct option is:

Both Anoki and David are correct. Both expressions are equivalent to the difference between the measurements and are always positive because they give the absolute value of the difference.

A similar problem is given at https://brainly.com/question/24514895