Question 1067084: The population of the United States has been changing at an exponential rate since the year 2000. The function P(t)=282(1.35)^t, where P(t) is the population after t years, models the country's growth. Determine the initial value, a, and the base, b. Then, determine whether this function represents exponential growth or exponential decay, and the rate of growth or decay.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The population of the United States has been changing at an exponential rate since the year 2000. The function P(t)=282(1.35)^t, where P(t) is the population after t years, models the country's growth.
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Determine the initial value, a, and the base, b. Then, determine whether this function represents exponential growth or exponential decay, and the rate of growth or decay.
Initial value = P(0) = a = 282
base = b = 1.35
Since b > 1, P(t) is a growth funcion.
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Cheers,
Stan H.
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