Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Representing Relationships: Introducing Functions, Exercise 21: Exercise 2E

Forensic scientists can determine the height of a person based on the length of their femur. The equation is $h\left(f\right)=2.47f+54.10$, where $f$ is the length of the femur $\left(\mathrm{cm}\right)$ and $h$ is the person's height $\left(\mathrm{cm}\right)$. 

Use your GDC to sketch a graph of this function. Label the axes.

Forensic scientists can determine the height of a person based on the length of their femur. The equation is $h\left(f\right)=2.47f+54.10$, where $f$ is the length of the femur $\left(\mathrm{cm}\right)$ and $h$ is the person's height $\left(\mathrm{cm}\right)$. 

State a reasonable domain and range for this function.

Forensic scientists can determine the height of a person based on the length of their femur. The equation is $h\left(f\right)=2.47f+54.10$, where $f$ is the length of the femur $\left(\mathrm{cm}\right)$ and $h$ is the person's height $\left(\mathrm{cm}\right)$. 

Determine the height of a person with femur length of $51 \mathrm{cm}$.

Forensic scientists can determine the height of a person based on the length of their femur. The equation is $h\left(f\right)=2.47f+54.10$, where $f$ is the length of the femur $\left(\mathrm{cm}\right)$ and $h$ is the person's height $\left(\mathrm{cm}\right)$. 

If someone is $161 \mathrm{cm}$ tall, what is the length of their femur? (Round answer up to $1$ decimal place)

Javier invests $\$10000$ in an investment fund. The annual interest rate is $2.5\%$, compounded monthly.

Write an equation to represent to this situation.

Javier invests $\$10000$ in an investment fund. The annual interest rate is $2.5\%$, compounded monthly.

Explain why this equation is a function.

Javier invests $\$10000$ in an investment fund. The annual interest rate is $2.5\%$, compounded monthly.

State the domain and range of this function.

Javier invests $\$10000$ in an investment fund. The annual interest rate is $2.5\%$, compounded monthly.

How long will it take Javier to double his money, if he does not make any additional deposits or withdrawals?