Respuesta :

We have;

[tex]f(x)=ab^x[/tex]

We want to obtain the value of a given the table.

Luckily we can obtain the value of a since;

[tex]\begin{gathered} f(x)\text{ if x=0, i.e } \\ f(0)=a(b^0)=a\times1=a \end{gathered}[/tex]

Thus a is the value of f(x) when x = 0.

Let's get the value of f(x) when x = 0 from the table.

[tex]\text{from the table at, at x =0 , f(x)= a = 500}[/tex]

Therefore, a = 500

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