The shortest person in a class is 55 inches tall and tallest person in that class is 75 inches tall. Write an absolute value equation that represents the minimum and maximum heights. Use x to represent the heights.

Equation:

Respuesta :

The absolute value equation that represents the minimum and maximum heights is  mathematically given as

|x-65| ≤ 10.

What is the absolute value equation that represents the minimum and maximum heights?

It is a certainty that the person with the smallest stature in a class measures 55 inches, while the one with the highest stature measures 75 inches.

Generally, the equation for the midpoint of maximum and minimum value  is  mathematically given as

midpoint = (max + min)/2

midpoint  =(75+55)/2

midpoint = 130/2

midpoint  =65

The difference between the extremes and the middle point is that

d=(max-min) /2

d= (75-55)/2

d  = 20/2

d= 10

The equation for absolute value is as follows:

|x-midpoint| ≤ Difference.

|x-65| ≤ 10.

In conclusion, As a result, the needed equation for an absolute value, which depicts the lowest and highest possible heights, is

|x-65| ≤ 10.

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