Astronauts for NASA must measure between 62 and 75 inches tall. Which equation best represents the minimum and maximum heights accepted for NASA astronauts?
A. lh - 62] = 75
B. 1h - 131 = 6.5
C. |h - 6,5| = 68,5
D. \h - 68.51 = 6.5

Given:

Astronauts for NASA must measure between 62 and 75 inches tall.

To find:

The equation which best represents  the minimum and maximum heights accepted for NASA astronauts.

Solution:

Let h be the height accepted for NASA astronauts.

Astronauts for NASA must measure between 62 and 75 inches tall.

Subtract both sides by midpoint of 62 and 75, i.e., 68.5.

We know that, .

So, the absolute inequality for heights accepted for NASA astronauts is .

The equation of this inequality represents  the minimum and maximum heights accepted for NASA astronauts.

Using this equation we get , which are minimum and maximum values respectively.

Therefore, the correct option is D.

step-by-step explanation: yes