i need help with my home work PLEASE CHECK WORK WHEN DONE

Given:
Given that a data table.
Required:
To find the equation, by using the data table.
Explanation:
The option (1) is correct.
That is,
[tex]y=20(8)^{1.47x}[/tex]Because,
At x=0
[tex]\begin{gathered} y=20(8^0) \\ =20(1) \\ =20 \end{gathered}[/tex]At x=1
[tex]\begin{gathered} y=20(8)^{1.47} \\ =20\times21.2589 \\ =425.18 \end{gathered}[/tex]Final Answer:
[tex]y=20(8)^{147x}[/tex]