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

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

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.