Graph Options

5
advanced-math

A 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.

  1. Initial: 200 bacteria → y-intercept at 200.
  2. Doubling: Population increases → growing curve, not decreasing.
  3. Shape: Exponential growth curves upward steeply.
  4. Equation: P(t)=200(2)t/4P(t) = 200(2)^{t/4}.

💡 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.