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(Solved): Finding an Appropriate Equation Given Data For each table below, determine if it represents a funct ...




Finding an Appropriate Equation Given Data
For each table below, determine if it represents a function that is linear or expo
Finding an Appropriate Equation Given Data For each table below, determine if it represents a function that is linear or exponential. Then determine the actual function. It is recommended to use https://www. desmos. com/calculator or another calculator capable of computing both linear and exponential regressions. \begin{tabular}{|c|r|r|r|r|} \hline & 0 & 1 & 2 & 3 \\ \hline & 130 & 91 & 63.7 & 44.59 \\ \hline \end{tabular} \begin{tabular}{|c|r|r|r|r|} \hline & 0 & 1 & 2 & 3 \\ \hline & -115 & -195 & -275 & -355 \\ \hline \end{tabular} \begin{tabular}{|c|r|r|r|r|} \hline & 0 & 1 & 2 & 3 \\ \hline & 50 & 60 & 72 & 86.4 \\ \hline \end{tabular}


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When x = 0 , f(.0) = 130

When x = 1 , f(1) = 102.4

When x = 2 , f(2) = 81.92

The linear function increases or decreases exponentially.

Here   

  
So, the function f(x) is exponential ??????.

Then f(x) = a (b)x

f(0) = a(b) = ab = 130

f(1) = a(b)2 = ab2 = 91

Dividing f(1) by f(0) , we get
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