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)=(95)/(4)`
⇒
`b=\sqrt[3]{(95)/(4)}`
which is approximately 2.874

So we get

`y=4(\sqrt[3]{(95)/(4)})^(x)`
or, in decimal form,

`y=4*2.874^(x)`