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Georgia
10 days ago
8

The shortest person in a class is 55 inches tall and tallest person in that class is 75 inches tall. Write an absolute value equ

ation that represents the minimum and maximum heights. Use x to represent the heights.
Mathematics
2 answers:
tester [3.9K]10 days ago
7 0

Answer:

|x-65|\leq 10

Step-by-step explanation:

The shortest individual in the classroom measures 55 inches, while the tallest one is 75 inches tall.

We assign x to signify the heights.

So, the minimum height for x equals 55.

And, the maximum height for x equals 75.

The average of the maximum and minimum is

Midpoint =\frac{Maximum+Minimum}{2}=\frac{75+55}{2}\Rightarrow \frac{130}{2}=65

The disparity between the two extremes and the average is

Difference =\frac{Maximum-Minimum}{2}=\frac{75-55}{2}\Rightarrow \frac{20}{2}=10

Thus, the absolute value equation can be expressed as

| x - Midpoint | \leq Difference

| x -65 | \leq 10

Consequently, the necessary absolute value equation representing the minimum and maximum heights is |x-65| ≤ 10.

tester [3.9K]10 days ago
3 0

x = lowest height

<x+25 highest height

x=55

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