Respuesta :

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]

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