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

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shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Hm. I assume an exponential function means in the form \(y = ae^x\)?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, 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
 5 years ago
Best ResponseYou've already chosen the best response.0shadow 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
 5 years ago
Best ResponseYou've already chosen the best response.0or if you want to use x, then y = Ae^(kx)

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Absolutely 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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