Chapter 4.5, Problem 16E

Reminder Round all answers to two decimal places unless otherwise indicated.

Growth Rate An animal grows according to the formula

$L=0.6\log \left(2+5T\right)$.

Here $L$ is the length in feet and $T$ is the age in years.

a. Draw a graph of length versus age. Include ages up to $20$ years.

b. Explain in practical terms what $L\left(15\right)$ means, and then calculate that value.

c. How old is the animal when it is $1\text{ foot}$ long?

d. Explain in practical terms what the concavity of the graph means.

e. Use the formula to express the age as a function of the length.