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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=64.2+2.37 f, 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=141 ?
The femur length for someone with an expected height of 32.4 centimeters.
The change in expected height for every one additional centimeter of femur length.
The femur length for someone with an expected height of 141 centimeters.
The expected height for someone with a femur length of 141 centimeters.

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=64.2+2.37f h=64.2+2.37 f , where h h represents the expected height in centimeters and f f represents the length of the femur in centimeters. What is the meaning of the f f -value when h=141 h=141 ?\newlineThe femur length for someone with an expected height of 3232.44 centimeters.\newlineThe change in expected height for every one additional centimeter of femur length.\newlineThe femur length for someone with an expected height of 141141 centimeters.\newlineThe expected height for someone with a femur length of 141141 centimeters.

Full solution

Q. 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=64.2+2.37f h=64.2+2.37 f , where h h represents the expected height in centimeters and f f represents the length of the femur in centimeters. What is the meaning of the f f -value when h=141 h=141 ?\newlineThe femur length for someone with an expected height of 3232.44 centimeters.\newlineThe change in expected height for every one additional centimeter of femur length.\newlineThe femur length for someone with an expected height of 141141 centimeters.\newlineThe expected height for someone with a femur length of 141141 centimeters.
  1. Understand given formula: First, let's understand the given formula: h=64.2+2.37fh = 64.2 + 2.37f. This formula predicts the expected height (hh) based on the length of the femur (ff). We need to determine what the ff-value represents when hh equals 141141 centimeters.
  2. Find meaning of extit{f}-value: To find the meaning of the extit{f}-value when h=141141, we need to solve the equation for extit{f} when h is set to 141141. The equation is h = 6464.22 + 22.3737f, so we plug in 141141 for h and solve for extit{f}.
  3. Solve for ff when h=141h=141: The equation with the given value of hh is 141=64.2+2.37f141 = 64.2 + 2.37f. To solve for ff, we need to subtract 64.264.2 from both sides of the equation.
  4. Subtract 64.264.2 from both sides: After subtracting 64.264.2 from both sides, the equation becomes 14164.2=2.37f141 - 64.2 = 2.37f. Now we calculate the left side of the equation: 14164.2=76.8141 - 64.2 = 76.8.
  5. Calculate left side of equation: With the result from the previous step, we have 76.8=2.37f76.8 = 2.37f. To find ff, we divide both sides of the equation by 2.372.37.
  6. Divide both sides by 22.3737: Dividing 76.876.8 by 2.372.37 gives us f=76.8/2.37f = 76.8 / 2.37. Now we perform the division to find the value of ff.
  7. Perform division to find ff: The division 76.8/2.3776.8 / 2.37 equals approximately 32.4132.41. This is the length of the femur in centimeters for someone with an expected height of 141141 centimeters.

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