Given data:
The given table is shown.
The given expression is,
[tex]y=a(b)^x[/tex]
Substitute 0 for x and 20080 for y in the above expression.
[tex]\begin{gathered} 20080=a(b)^0 \\ 20080=a \end{gathered}[/tex]
Substitute 20080 for a in the given expression.
[tex]y=20080(b)^x[/tex]
Substitute 1 for x and 20582 for y in the above expression.
[tex]\begin{gathered} 20582=20080(b)^1 \\ b=1.025 \end{gathered}[/tex]
Substitute 1.025 for b in the given standard expression.
[tex]y=20080(1.025)^x[/tex]
Thus, the exponential expression is y=20080(1.025)^x.
