Chapter 5.3, Problem 11E

Price of Ground Beef The wholesale price in dollars of one pound of ground beef is modeled by the function $f\left(t\right)=3.08+.57t-.1t^2+.01t^3$, where $t$ is measured in years from January $1,2010$.

a. Estimate the price in $2011$ and find the rate in dollars per year at which the price was rising in $2011$.

b. What is the percentage rate of increase of the price of one pound of beef in $2011$?

c. Answer parts $\left(\text{a}\right)$ and $\left(\text{b}\right)$ for the year $\text{2016}$.