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=2.36 f+60.7, 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=155 ? The femur length for someone with an expected height of 155 centimeters. The change in expected height for every one additional centimeter of femur length. The femur length for someone with an expected height of 40 centimeters. The expected height for someone with a femur length of 155 centimeters.

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=2.36 f+60.7, 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=155 ? The femur length for someone with an expected height of 155 centimeters. The change in expected height for every one additional centimeter of femur length. The femur length for someone with an expected height of 40 centimeters. The expected height for someone with a femur length of 155 centimeters.

Bytelearn · Accepted Answer

Given Formula Analysis: We are given the formula h = 2.36f + 60.7, where h is the expected height in centimeters and f is the length of the femur in centimeters. We need to determine the meaning of the f-value when h = 155 cm. To do this, we will analyze the given options one by one.Option 1 Evaluation: First, let's consider the option ＂The femur length for someone with an expected height of 155 centimeters.＂ To check if this is correct, we can rearrange the formula to solve for f when h = 155 cm.Option 2 Evaluation: Rearrange the formula to solve for f: h = 2.36f + 60.7 155 = 2.36f + 60.7 155 - 60.7 = 2.36f 94.3 = 2.36f f = 94.3 / 2.36 f ≈ 39.96 cmOption 3 Evaluation: The calculation shows that when h = 155 cm, the femur length f is approximately 39.96 cm. This means that the first option is correct: ＂The femur length for someone with an expected height of 155 centimeters.＂Option 4 Evaluation: Now let's consider the second option ＂The change in expected height for every one additional centimeter of femur length.＂ This is not the meaning of the f-value when h = 155 cm; instead, it describes the coefficient 2.36 in the formula, which represents the change in expected height per centimeter of femur length.The third option ＂The femur length for someone with an expected height of 40 centimeters＂ is not relevant to the given h-value of 155 cm, so it is incorrect.The fourth option ＂The expected height for someone with a femur length of 155 centimeters＂ is also not relevant to the given h-value of 155 cm, as it suggests using f = 155 cm to find h, which is not what we are asked to do.

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