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?
Question
Answer:
Given that the anthropologist uses the equation h = 60 + 2.5f, where h represents the height in centimeters and f represents the length of the femur in centimeters.For the height of the woman to be greater than 160 cm, then
160 < 60 + 2.5f
160 - 60 < 60 + 2.5f - 60
100 < 2.5f
100 / 2.5 < 2.5f/2.5
40 < f
Therefore, the inequality that best represents the lengths of the femur that would suggest the woman had a height greater than 160 cm is f > 40.
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