Question

Find an approximate equation y=ab^x with the coordinates (0, 4) (3, 95)

Answer 1

We have $y=ab^{x}$

Plug in $(0, 4)$:
$4=ab^{0}$⇒$4=a$
So we now have $a$

Plug in $(3, 95)$:
$95=4b^{3}$
⇒$b^{3}=\frac{95}{4}$
⇒$b=\sqrt[3]{\frac{95}{4}}$
which is approximately 2.874

So we get
$y=4(\sqrt[3]{\frac{95}{4}})^{x}$
or, in decimal form,
$y=4*2.874^{x}$