Exponential Growth problem

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hank

Junior Member
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Sep 13, 2006
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Ok, I need to find an exponential growth model y = y0 e^(kt) that satisfies the following conditions ( 2 different problems)

a) y(1) = 1; y(10) = 200
b) y(1) = 2; doubling time T = 6

I'm not sure what to do.
 
Do you understand the concept of function notation?

y(10) = 200 MEANS 200 = y0 e^(k(10))
 
tkhunny said:
Do you understand the concept of function notation?

y(10) = 200 MEANS 200 = y0 e^(k(10))
Click to expand...

Yes, I got that.
How do I find k in this case?
Also, if I plug in 1 or 10, I get two different y0.
 
hank said:
Ok, I need to find an exponential growth model y = y0 e^(kt) that satisfies the following conditions ( 2 different problems)

a) y(1) = 1; y(10) = 200
b) y(1) = 2; doubling time T = 6

I'm not sure what to do.
Click to expand...
a) You are given two data points: (1, 1) and (10, 200). Plug them into the given equation. This gives you two equations in two unknowns. Solve for y<sub>0</sub> and k.

b) If the doubling time is t = 6 (not "T", which is an undefined variable in this context), and if y = 2 at t = 1, then at what time will y have doubled? What will the value of y be at that time? Now that you have the first (given) point and the second (derived) point, proceed as in (a).

Eliz.
 
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