Question

An anthropologist studies a woman's femur that was uncovered in Madagascar. To estimate the woman's height, he uses the equation h=60+2.5fh=60+2.5f, where hh represents height in centimeters and ff represents length of the femur in centimeters. Which inequality best represents the lengths of the femur that would suggest the woman had a height greater than 160cm?
Choose 1 answer:

Answer 1

Answer:

The inequality $f>40$ represents the length of the femur for which the woman had a height greater than 160cm.

Step-by-step explanation:

The given equation is

$h=60+2.5f$

Where, h is woman's height in centimeters and f is length of the femur in centimeters.

If woman's height is greater than 160cm, then

$h>160$

$60+2.5f>160$

Substract 60 from both sides.

$2.5f>100$

Divide both sides by 2.5.

$f>40$

Therefore the inequality  $f>40$ represents the lengths of the femur for which the woman had a height greater than 160cm.