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December 22, 2014

December 22, 2014

Posted by **Alexis** on Tuesday, November 1, 2011 at 7:12am.

f(0) = 200 and f(3) = 2000.

a) Use the form f(t) = Pe^rt to find the equation of this exponential function.

b) In the form f(x) = Pa^x, a is the growth factor. find the growth factor.

c)What input value gives an output value of 5,000?

- math - algebra -
**drwls**, Tuesday, November 1, 2011 at 8:20am(a) If f(t) = Pe^(rt)

200 = P^0 = P (Therefore P = 200)

2000 = 200 e^(3r)

e^3r = 10

3r = ln10 = 2.303

r = 0.76753

The equation is

f(t) = 200*e^(0.76753 t)

(b) 2000 = 200*a^3

a^3 = 10

a = 2.15443

y = 200*(2.15443)^x

(c) Solve 5000 = 200*2.15443^x

25 = 2.15443^x

x = ln25/ln2.15443 = 4.1938

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