We have [tex]y=ab^{x}[/tex]
Plug in [tex](0, 4)[/tex]:
[tex]4=ab^{0}[/tex]⇒[tex]4=a[/tex]
So we now have [tex]a[/tex]
Plug in [tex](3, 95)[/tex]:
[tex]95=4b^{3}[/tex]
⇒[tex]b^{3}=\frac{95}{4}[/tex]
⇒[tex]b=\sqrt[3]{\frac{95}{4}}[/tex]
which is approximately 2.874
So we get
[tex]y=4(\sqrt[3]{\frac{95}{4}})^{x}[/tex]
or, in decimal form,
[tex]y=4*2.874^{x}[/tex]
