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 + 2.5 f, where h represents height in centimeters and f 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?

Answer 1

`f>40`

Step-by-step explanation:

The given equation is

`h=60+2.5f`

where h represents height in centimeters and f represents length of the femur in centimeters.

We need to find the inequality that best represents the lengths of the femur that would suggest the woman had a height greater than 160 cm.

`h>160`

`60+2.5f>160`

`2.5f>160-60`

`2.5f>100`

Divide both sides by 2.5.

`(2.5f)/(2.5)>(100)/(2.5)`

`f>40`

It means lengths of the femur is greater than 40 cm.

Therefore, the required inequality is
`f>40`.

Answer 2

For h = 60 + 2.5f, where h = height, in cm, and f = femur length, in cm, and the condition that h > 160cm., the minimum condition for f to meet the requirement for h will be:If h=160cm,f’ = (160-60) /2.5f’ = 40cm,with f’ = 40cm not being a solution to this inequality.
That is, all values greater than 40cm will solve the said inequality which is expressed as:f > (h-60)/2.5