Find Exponential Equation from data points

  • Thread starter Ocasta
  • Start date
  • #1
Ocasta
40
0
Hi guys I'm helping my girlfriend with her Calc 1 homework and we seem to be stuck on this one problem. Am I missing something obvious?

Homework Statement


Problem.png


Homework Equations



[itex]
P = P_0 a^t
[/itex]

[itex]
\frac{5}{20} = \frac{P_0 a^1}{P_0 a^{-1}}
[/itex]

[itex]
\frac{1}{4} = a^2
[/itex]

[itex]
a = \frac{1}{2}
[/itex]

[itex]
5 = P_0 (1/2)^1
[/itex]

[itex]
P_0 = 10
[/itex]

[itex]
P(t) = 10 (1/2)^t
[/itex]
 

Answers and Replies

  • #2
Ocasta
40
0
... and a few seconds after I posted this, I realized that we're using the wrong variable. X instead of t, and it works.

Rage! Rage factorial
smiley-bangheadonwall.gif
 

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