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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?
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Answer:

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

Step-by-step explanation:

The given equation is

[tex]h=60+2.5f[/tex]

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

[tex]h>160[/tex]

[tex]60+2.5f>160[/tex]

Substract 60 from both sides.

[tex]2.5f>100[/tex]

Divide both sides by 2.5.

[tex]f>40[/tex]

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

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