Math  /  Algebra

QuestionThere'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=62.6+2.35fh=62.6+2.35 f, where hh represents the expected height in centimeters and ff represents the length of the femur in centimeters. What is the meaning of the hh-value when f=49f=49 ?
Answer
The expected height for someone with a femur length of 177.75 centimeters.
The femur length for someone with an expected height of 49 centimeters.
The change in expected height for every one additional centimeter of femur length.
The expected height for someone with a femur length of 49 centimeters.
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Studdy Solution

STEP 1

1. The relationship between femur length and height is linear and given by the formula h=62.6+2.35f h = 62.6 + 2.35f .
2. We are asked to interpret the meaning of the h h -value when f=49 f = 49 .

STEP 2

1. Substitute the given femur length into the formula.
2. Calculate the expected height.
3. Interpret the result.

STEP 3

Substitute the given femur length f=49 f = 49 into the formula h=62.6+2.35f h = 62.6 + 2.35f .
h=62.6+2.35×49 h = 62.6 + 2.35 \times 49

STEP 4

Calculate the expected height by performing the multiplication and addition.
h=62.6+115.15 h = 62.6 + 115.15 h=177.75 h = 177.75

STEP 5

Interpret the result: The calculated h h -value represents the expected height for someone with a femur length of 49 centimeters.
Therefore, the correct interpretation of the h h -value when f=49 f = 49 is: "The expected height for someone with a femur length of 49 centimeters."
The correct answer is: "The expected height for someone with a femur length of 49 centimeters."

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