Explanation
We are given the following table:
We are required to determine the exponential regression equation that models the data.
This is achieved thus:
We know that an exponential equation is given as:
![y=ab^x](https://img.qammunity.org/2023/formulas/mathematics/high-school/hye5rg1h8wj3ohgdt4j1vpepdhoym0w9ex.png)
Using a graphing calculator, we have:
From the graph, we have:
![\begin{gathered} a=58 \\ b=0.964 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f9srd7y284rjzzxzk4dazbzrsp2btz423l.png)
Hence, the answer is:
![y=58(0.964)^x](https://img.qammunity.org/2023/formulas/mathematics/college/3pusl7v1d72c4pluwfez025nmnwazao05f.png)