Respuesta :

Solution:

An exponential function is expressed as

[tex]\begin{gathered} y=a(1+r)^x--\text{ equation 1} \\ where \\ r\Rightarrow rate\text{ of change} \end{gathered}[/tex]

Given the exponential function:

[tex]A(x)=P(0.77)^x---\text{ equation 2}[/tex]

By comparison, we have

[tex]\begin{gathered} 0.77=1+r \\ add\text{ -1 to both sides,} \\ 0.77-1=-1+1+r \\ \Rightarrow r=-0.23 \\ In\text{ percentage, we have} \\ r=-23\% \end{gathered}[/tex]

Hence, the correct option is

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