Bacterial Growth

1
advanced-math

The number of bacteria in a culture is given by N(t)=2000(3)tN(t) = 2000(3)^t, where tt is in hours. What is the initial number of bacteria?

A

3

B

2000

C

6000

D

2003

Correct Answer: B

Choice B is the correct answer. The initial value is the coefficient aa.

  1. Identify: In N(t)=abtN(t) = ab^t, aa is the starting amount.
  2. Locate: a=2000a = 2000.
  3. Verify: At t=0t=0, N(0)=2000(3)0=2000N(0) = 2000(3)^0 = 2000.

💡 Strategic Tip: The number in front of the parenthesis is your starting point.

Choice A is incorrect because 3 is the growth factor (tripling). Choice C is incorrect because 6000 is the amount after 1 hour. Choice D is incorrect because it adds the parameters.