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Given data:
The given table is shown.
1)
Substitute 0 for x in first option.
[tex]\begin{gathered} y=104(0.8)^0 \\ =104 \end{gathered}[/tex]The above option is wrong.
2)
Substitute 0 for x in second option.
[tex]\begin{gathered} y=65(0.8)^0 \\ =65 \end{gathered}[/tex]Substitute 1 for x in the given option.
[tex]\begin{gathered} y=65(0.8)^1 \\ =52 \end{gathered}[/tex]The above option is wrong.
3)
Substitute 0 for x in third option.
[tex]\begin{gathered} y=104(1.6)^0 \\ =104 \end{gathered}[/tex]The above option is also wrong.
4)
Substitute 0 for x in fourth option.
[tex]\begin{gathered} y=65(1.6)^0 \\ =65 \end{gathered}[/tex]Substitute 1 for x in the given option.
[tex]\begin{gathered} y=65(1.6)^1 \\ =104 \end{gathered}[/tex]Thus, the fourth option is correct.