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+2.5fh, equals, 60, plus, 2, point, 5, f, where hhh represents height in centimeters and fff 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 160\,\text{cm}160cm160, space, c, m?
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Answer:
f > 40
Explanation:
h = 60+2.5f
h = height of Woman in centimeters.
f = length of the femur in centimeters.
woman had a height greater than 160
=> h > 160
=> 60+2.5f > 160
Subtracting 60 from both sides
=> 2.5g > 100
Dividing by 2.5 both sides
=> f > 40
lengths of the femur > 40 cm
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