Math  /  Algebra

QuestionDetermine the exponential rate of increase for the function defined by this table of \begin{tabular}{c|l|} \hlinexx & yy \\ \hline 0 & 4 \\ \hline 1 & 12 \\ \hline 2 & 36 \\ \hline 3 & 108 \\ \hline 4 & 324 \\ \hline \end{tabular}

Studdy Solution
Verify b=3 b = 3 using another point from the table, such as x=2 x = 2 , y=36 y = 36 .
Substitute into the equation: 36=432 36 = 4 \cdot 3^2
Calculate: 36=49=36 36 = 4 \cdot 9 = 36
The calculation holds true, confirming b=3 b = 3 .
The exponential rate of increase for the function is:
3 \boxed{3}

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