Question

write the equation for the exponential function that passes through the points (0.5) and (1,15)

Answer 1

Hm. I assume an exponential function means in the form \(y = ae^x\)?

Answer 2

yes

Answer 3

Ok, so you basically have two equations and two unknowns if you plug in your two values:

\[\begin{align}
y &= ae^x\\
5 &= ae^0\\
15 &= ae^1
\end{align}\]

You have a huge advantage because one of the equations is \(ae^0\). What's e^0?

Answer 4

hey shadow

Answer 5

shadow youre missing something.
y = Ae^(kt). there should be an A and a k. or two parameters.
Shadow, you have one parameter , just the a.

Answer 6

or if you want to use x, then y = Ae^(kx)

Answer 7

Absolutely right -- had looked at it a little further earlier and there were some holes in the reasoning. teekay hadn't gotten back yet, though, so I figured I'd wait. Thanks!