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 49 centimeters. b. estimate the height of a female adult human whose femur measures 34 centimeters. a. the height of a female adult human whose femur measures 49 centimeters is approximately centimeters. (type an integer or a decimal.)

Explanation:

Step1: Identify the function

The function for estimating height is $H(x)=2.59x + 47.24$, where $x$ is the length of the femur.

Step2: Solve for part a

When $x = 49$, substitute $x$ into the function: $H(49)=2.59\times49+47.24$. First, calculate $2.59\times49 = 126.91$. Then, $126.91+47.24=174.15$.

Step3: Solve for part b

When $x = 34$, substitute $x$ into the function: $H(34)=2.59\times34 + 47.24$. First, calculate $2.59\times34=88.06$. Then, $88.06 + 47.24=135.3$.

Answer:

a. $174.15$
b. $135.3$