7
Answer: ASet 14: Exponential Functions (Intermediate)
Explanation
The population of bacteria in a petri dish is recorded:
| Hour | Count |
|---|---|
| 0 | 100 |
| 3 | 800 |
| 6 | 6,400 |
What is the growth factor per 3-hour period?
A.✓ Correct
8
B.
2
C.
64
D.
700
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Calculate the ratio per time period. 1. Period 1: . 2. Period 2: . 3. Growth Factor: Every 3 hours, the count multiplies by 8. Strategic Tip: Growth factor = over one time period. Choice B is incorrect because this would only give 100 → 200 → 400. Choice C is incorrect because this is , not per period. Choice D is incorrect because this is the difference, not the ratio.
Key Steps:
•
The correct answer is 8
Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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