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Answer:
p(t) = 6000·(1/2)^(t/3)
Step-by-step explanation:
An exponential growth or decay can be modeled by ...
value = (initial value) · (growth factor)^(t/(time for growth factor))
Here, the growth factor is 3000/6000 = 1/2 in 3 hours. The initial value is 6000. Putting those numbers into the above form, we have ...
p(t) = 6000·(1/2)^(t/3)
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If you prefer your exponential functions to be a power of e, then this is ...
p(t) = 6000·e^(-0.23105t)
The constant -0.23105 is ln(1/2)/3.
