Exponential+Functions-Target+C-Growth+Rates-Practice+Problems

Given the description, can the situation be modeled by a linear or exponential function. If it is linear describe the common difference or if it is exponential describe the common ratio.
 * 1)** You decide to go for a run (you don't change speed) for 5 miles and it takes you 37 minutes and 30 seconds.


 * 2)** Bacteria is growing at a rate at which is doubles every 20 days.

Given the table, determine if the data provided is linear, exponential or neither. If it is linear describe the common difference or if it is exponential describe the common ratio. math \textbf{3)} \begin{array}{|c|c|c|c|c|c|} \hline \textbf{x} & \text{-}2 & \text{-}1 & 0 & 1 & 2 \\ \hline \textbf{f(x)} & 2 & 4 & 6 & 8 & 10 \\ \hline \end{array} math

math \textbf{4)} \begin{array}{|c|c|c|c|c|c|} \hline \textbf{x} & \text{-}2 & \text{-}1 & 0 & 1 & 2 \\ \hline \textbf{f(x)} & \dfrac{1}{4} & \dfrac{1}{2} & 1 & 2 & 4 \\ \hline \end{array} math

math \textbf{5)} \begin{array}{|c|c|c|c|c|c|} \hline \textbf{x} & \text{-}2 & \text{-}1 & 0 & 1 & 2 \\ \hline \textbf{f(x)} & 8 & 4 & 2 & 1 & \dfrac{1}{2} \\ \hline \end{array} math

math \textbf{6)} \begin{array}{|c|c|c|c|c|c|} \hline \textbf{x} & \text{-}3 & \text{-}1 & 0 & 2 & 4 \\ \hline \textbf{f(x)} & \text{-}8 & \text{-}2 & \text{-}1 & \text{-}0.25 & \text{-}0.0625 \\ \hline \end{array} math

math \textbf{7)} \begin{array}{|c|c|c|c|c|c|} \hline \textbf{x} & \text{-}2 & \text{-}1 & 0 & 1 & 2 \\ \hline \textbf{f(x)} & \text{-}2 & \text{-}1.5 & \text{-}1 & \text{-}0.5 & 0 \\ \hline \end{array} math

math \textbf{8)} \begin{array}{|c|c|c|c|c|c|} \hline \textbf{x} & \text{-}3 & \text{-}1 & 0 & 2 & 4 \\ \hline \textbf{f(x)} & \text{-}2.5 & \text{-}1.5 & \text{-}1 & \text 0 & 1 \\ \hline \end{array} math


 * 9.** Create a table of values that displays a linear growth with a common difference of 2.


 * 10.** Create a table of values that displays a exponential growth with a common ratio of 1.5.

__ TARGET REVIEW __

11) Solve the following equation: 2x - 4 = 2 - (6 - 3x) math \ \\ \textbf{12) Graph the line.}\ y=\dfrac{1}{2}x+5\\ \ \\ math

math \textbf{13) Solve the system.} \ \ \begin{cases} 2x+9y=\text{-}4\\ x-2y=11\\ \end{cases} math