Question

forensic scientists use the function h(x)=2.59x + 47.24 to estimate the height of a female adult human in centimeters given the length x of her femur bone.
a. estimate the height of a female adult human whose femur measures 55 centimeters.
b. estimate the height of a female adult human whose femur measures 39 centimeters.
a. the height of a female adult human whose femur measures 55 centimeters is approximately centimeters.
(type an integer or a decimal.)

Explanation:

Step1: Substitute \(x = 55\) into the function \(H(x)=2.59x + 47.24\)

$$H(55)=2.59\times55+47.24$$

Step2: Calculate \(2.59\times55\)

$$2.59\times55=(2 + 0.59)\times55=2\times55+0.59\times55=110+32.45 = 142.45$$

Step3: Calculate \(H(55)\)

$$H(55)=142.45+47.24=189.69$$

Answer:

\(189.69\)