Question

The shoulder heights of the shortest and tallest miniature poodles are shown. The left poodle’s shoulder height is 10inches while the right poodles shoulder height is 15inches. Represent these two heights on a number line. Write an absolute value equation that represents these heights.

Answer 1

Answer:

Given,

The left poodle’s shoulder height is 10 inches while the right poodles shoulder height is 15 inches.

For representing the height of the poodle in the number line,

Make a close circle on both 10 and 15 on the number line ( shown below )

Now, the midpoint of 10 and 15 = $\frac{10+15}{2}$ = 12.5

Distance of 12.5 from both 10 and 15 = 2.5,

i.e. | Height of poodle - midpoint |= 2.5

Hence, if x represents the height of the poodle,

Then,

|x-12.5| = 2.5

which is the required absolute value equation.

Answer 2

• The absolute value describes the distance from zero, without considering the orientation of a number on a number line.
• A number's absolute value never is negative.
• It is generally believed that the distance between the number and zero is on a numeric line.
• The height of the left poodle is 10 cm while the height of the right poodle is 15 cm.
• To show the poodle height in the line of numbers,
• Closely circle the number lines on both 10 and 15 were midpoints:

             $\bold{= \frac{10+15}{2} = 12.5}.$

• Distance 12.5 from 10 as well as from $\bold{15 = 2.5}$,

Therefore,

$\to \bold{| Height\ of\ poodle - midpoint |= 2.5}$

When x reflects the poodle height

Then,

$\to \bold{|x-12.5| = 2.5}$

therefore the absolute value of the equation is "2.5".

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