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In order to go on a kiddy ride at an amusement park, the
recommended weight is 80 pounds. A rider's weight can
deviate by at most 10 pounds. Write and solve an inequality to
represent this situation and solve for the maximum weight of a
rider.
W < ___ pounds

Respuesta :

Using an absolute value inequality, it is found that the maximum height is of 90 pounds, that is:

[tex]W \leq 90[/tex]

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  • The absolute value of a point or function is its distance to the origin.
  • That is, for example:

[tex]|x| \leq a[/tex] means that:

[tex]-a \leq x \leq a[/tex]

  • The recommended weight is of 80 pounds, with an allowance of at most 10 pounds. Thus, the absolute value of the weight W and the 80 must be at most 80, that is:

[tex]|W - 80| \leq 10[/tex]

Solving the inequality:

[tex]-10 \leq W - 80 \leq 10[/tex]

[tex]W - 80 \geq -10[/tex]

[tex]W \geq 70[/tex]

[tex]W - 80 \leq 10[/tex]

[tex]W \leq 90[/tex]

Thus, the minimum height is 70 pounds and the maximum height is 90 pounds.

Thus, the inequality representing the maximum height is:

[tex]W \leq 90[/tex]

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

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