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 $h = 58.4+2.47f$, 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 $h = 150$?
answer
the change in expected height for every one additional centimeter of femur length.
the femur length for someone with an expected height of 37.1 centimeters.
the femur length for someone with an expected height of 150 centimeters.
the expected height for someone with a femur length of 150 centimeters.

Explanation:

Step1: Substitute h=150 into formula

$150 = 58.4 + 2.47f$

Step2: Isolate the term with f

$2.47f = 150 - 58.4$
$2.47f = 91.6$

Step3: Solve for f

$f = \frac{91.6}{2.47} \approx 37.1$

Step4: Interpret the value

The f-value here is the femur length corresponding to h=150.

Answer:

The femur length for someone with an expected height of 150 centimeters.