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

A number line is a horizontal line with calibrated interval marks like the one shown in the attached picture. The number line has calibrated marks with an interval of 1 inch. To represent this in a number line, just mark the 10-inch and 15-inch mark. 

Answer 2

Answer:

The required inequality is |h-12.5| = 2.5

Step-by-step explanation:

Consider the provided information.

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

Now we need to represent the height of the poodle in the number line,

Make a close circle on both 10 and 15 on the number line shown in figure 1.

We also need to write an absolute value equation, so first find the midpoint of 10 and 15 as shown:

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

The distance of 12.5 from both 10 and 15 is 2.5

Let h represents the shoulder height of the poodle,

Then the absolute value of difference of height of poodles and midpoint is 2.5

This can be written as:

|h-12.5| = 2.5

Thus, the required inequality is |h-12.5| = 2.5