Question

There's a roughly linear relationship between the length of someone's femur (the long leg-bone in your thigh) and their expected height. within a certain population, this relationship can be expressed using the formula

h=58.4+2.47f, where

h represents the expected height in centimeters and f represents the length of the femur in centimeters. What is the meaning of the f-value when
ℎ=150

a) 34.3 cm
b) 40.5 cm
c) 52.2 cm
d) 57.9 cm

Answer 1

The f-value represents the length of the femur when the expected height is 150 cm. The f-value can be calculated using the formula f=(h-58.4)/2.47, where h is the expected height. When h=150, the f-value is approximately 40.5 cm.

Step-by-step explanation:

The f-value represents the length of the femur when the expected height is 150 cm. We can find the f-value by rearranging the formula h=58.4+2.47f to solve for f. So, the formula becomes f=(h-58.4)/2.47. Plugging in h=150, we can calculate the f-value using the formula: f=(150-58.4)/2.47. The result is approximately 40.5 cm. Therefore, the meaning of the f-value is that when the expected height is 150 cm, the length of the femur is approximately 40.5 cm.