we have the equation of the form
[tex]f(x)=ab^x[/tex]
Remember that
a is the initial value (value of f(x) when the value of x=0)
we have the point (0,10,000)
so
a=10,000
Now the equation is
[tex]f(x)=10,000(b^x)[/tex]
Find out the value of b
we have the other point (2,4900)
that means
x=2, f(x)=4,900
substitute
[tex]\begin{gathered} 4,900=10,000(b)^2 \\ solve\text{ for b} \\ b^2=\frac{4,900}{10,000} \\ \\ b^2=0.49 \\ b=0.70 \end{gathered}[/tex]
therefore
The answer is
a=10,000
b=0.7
