Free response·Hard exam skill (4/5)·No calculatorNeeds mentor review
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Question
A bacteria culture grows at a rate proportional to its size. At time there are bacteria, and at hours there are bacteria.
Total: 5 points
(a) Write and solve a differential equation for the population . (2 points)
(b) Find the exact value of the growth constant . (1 point)
(c) Use the model to predict . (2 points)
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