Question

question
theres a roughly linear relationship between the length of someones 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+2.32f, 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 = 152?
answer
the femur length for someone with an expected height of 152 centimeters.
the femur length for someone with an expected height of 40.3 centimeters.
the change in expected height for every one additional centimeter of femur length.

Explanation:

Step1: Identify the formula

The formula for the relationship between height \(h\) (in centimeters) and femur length \(f\) (in centimeters) is \(h = 58.4+2.32f\).

Step2: Substitute \(f = 152\) into the formula

We substitute \(f = 152\) into \(h = 58.4+2.32f\), so \(h=58.4 + 2.32\times152\).
First, calculate \(2.32\times152\): \(2.32\times152=(2 + 0.32)\times152=2\times152+0.32\times152=304+48.64 = 352.64\).
Then, \(h=58.4+352.64\).

Step3: Calculate the value of \(h\)

\(h=58.4 + 352.64=411.04\) centimeters.

Answer:

411.04