MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

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.

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.