A culture that produces two generations per hour has what relationship in generation time compared with a culture producing three generations per hour?

Difficulty: Easy

Correct Answer: greater than that produces three generations per hour

Explanation:


Introduction / Context:
Generation time (g) and generations per hour are inversely related. Comparing two cultures with different doubling frequencies illustrates this reciprocal relationship and reinforces intuition for growth kinetics.


Given Data / Assumptions:

  • Culture A: 2 generations per hour.
  • Culture B: 3 generations per hour.
  • g = 1 / (generations per hour) * 60 minutes.


Concept / Approach:
If generations per hour increase, the time per generation must decrease. Therefore, the culture doubling more frequently has a shorter g. Explicit calculation confirms the qualitative conclusion and avoids mistakes.


Step-by-Step Solution:
For 2 generations per hour: g = 60 / 2 = 30 minutes. For 3 generations per hour: g = 60 / 3 = 20 minutes. Compare: 30 minutes (two per hour) is greater than 20 minutes (three per hour). Therefore, select “greater than that produces three generations per hour.”


Verification / Alternative check:
The general rule holds: if culture X has higher generations per hour than culture Y, then g_X < g_Y. Here, 3 > 2, so 20 < 30.


Why Other Options Are Wrong:

  • Lesser than: Opposite of the computed values.
  • Equal/None: Refuted by direct calculation.


Common Pitfalls:
Confusing “faster growth” with a “bigger number of minutes”; faster growth means a smaller generation time.


Final Answer:
greater than that produces three generations per hour.

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion