APFIVE Exponential Growth Model Analysis
I. Given that the population doubles every 3 hours and $$P(3)=800$$, the initial population is $$400$$.
II. The population after 9 hours, calculated using $$P(t)=400*2^(t/3)$$, would be $$400*2^(9/3)=400*8=3200$$, so the claim of 6400 is false.
III. The function modeling the growth is $$P(t)=400*2^(t/3)$$, which correctly represents exponential growth.
Which of the above statements are true?
Bacteria Growth Data:
| Time (hours) | Population |
|---|---|
| 0 | 400 |
| 3 | 800 |
| 6 | 1600 |
| 9 | 3200 |
A
All three statements are true.
B
Only Statements I and II are true.
C
Only Statement III is true.
D
Only Statements I and III are true.
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