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

Question

shadowfiend · Answer

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

anonymous · Answer

yes

shadowfiend · Answer

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?

anonymous · Answer

hey shadow

anonymous · Answer

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.

anonymous · Answer

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

shadowfiend · Answer

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!