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+2.5fh=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 160\,\text{cm}160cm? Choose 1 answer: f < 30

Answer 1

Answer:

The inequality best represents the length of the femur that would suggest the woman had a height greater than 160 cm is:

f > 40

Step-by-step explanation:

Woman's height (cm): h = 60 + 2.5 f

Length of the femur (cm): f

Height greater than 160 cm:

h > 160

Replacing h by 60+2.5f in the inequality above:

60+2.5f > 160

Solving for f: Subtracting 60 both sides of the inequality:

60+2.5f-60 > 160-60

Subtracting

2.5f > 100

Dividing both sides of the inequality by 2.5:

2.5f/2.5 > 100/2.5

f > 40

Answer: The inequality best represents the length of the femur that would suggest the woman had a height greater than 160 cm is:

f > 40