SOLUTION: The population of a city was 127 thousand in 1992. The exponential growth rate was 1.3% per year. Find the exponential growth function in terms of t, where t is the number of years
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Question 464633: The population of a city was 127 thousand in 1992. The exponential growth rate was 1.3% per year. Find the exponential growth function in terms of t, where t is the number of years since 1992. P(t)=?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The population of a city was 127 thousand in 1992. The exponential growth rate was 1.3% per year. Find the exponential growth function in terms of t, where t is the number of years since 1992. P(t)=?
The general exponential growth/decay model is:
A = Pe^(rt)
where
A is the amount after time t
P is the initial amount
r is the rate of growth or decay
t is time
.
Plugging in what was given by the problem:
P(t)= 127e^(.013t)
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