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advanced-mathA petri dish starts with 200 bacteria. The population doubles every 4 hours. Which graph best represents this?
A
Increasing curve, y-intercept 200, steep growth
B
Decreasing curve, y-intercept 200
C
Straight line through (0, 200)
D
Increasing curve, y-intercept 400
Correct Answer: A
Choice A is the correct answer. Match the description to graph features.
- Initial: 200 bacteria → y-intercept at 200.
- Doubling: Population increases → growing curve, not decreasing.
- Shape: Exponential growth curves upward steeply.
- Equation: .
💡 Strategic Tip: Doubling = exponential growth = upward curving graph.
Choice B is incorrect because the population grows, not decreases. Choice C is incorrect because doubling is exponential, not linear. Choice D is incorrect because the initial value is 200, not 400.