Problem

11. Complete the table. [3] \begin{tabular}{|c|c|c|c|} \hline Function & $\begin{array}{c}\text { Initial } \\ \text { Value }\end{array}$ & $\begin{array}{c}\text { Exponential Growth or } \\ \text { Decay? }\end{array}$ & Growth or Decay Rate \\ \hline$V(x)=20(1.05)^{+}$ & & & \\ \hline$P(n)=(0.6)^{n}$ & & & \\ \hline \end{tabular}

Solution

Step 1 :\(V(x) = 20(1.05)^x\)

Step 2 :\(P(n) = (0.6)^n\)

Step 3 :\(V_{initial\ value} = 20\)

Step 4 :\(V_{growth\ or\ decay} = \text{Growth}\)

Step 5 :\(V_{growth\ or\ decay\ rate} = 5\%\)

Step 6 :\(P_{initial\ value} = 1\)

Step 7 :\(P_{growth\ or\ decay} = \text{Decay}\)

Step 8 :\(P_{growth\ or\ decay\ rate} = -40\%\)

Step 9 :\(\boxed{\begin{tabular}{|c|c|c|c|} \hline Function & Initial Value & Exponential Growth or Decay? & Growth or Decay Rate \\ \hline V(x)=20(1.05)^x & 20 & Growth & 5\% \\ \hline P(n)=(0.6)^n & 1 & Decay & -40\% \\ \hline \end{tabular}}\)

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