anonymous
  • anonymous
write the equation for the exponential function that passes through the points (0.5) and (1,15)
Mathematics
katieb
  • katieb
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shadowfiend
  • shadowfiend
Hm. I assume an exponential function means in the form \(y = ae^x\)?
anonymous
  • anonymous
yes
shadowfiend
  • shadowfiend
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?

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anonymous
  • anonymous
hey shadow
anonymous
  • anonymous
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
  • anonymous
or if you want to use x, then y = Ae^(kx)
shadowfiend
  • shadowfiend
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!

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