SAT Math Practice Question #319 (Hard (800)) | Test Citadel
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SAT Math Difficulty: Hard (800)

Digital SAT Math Practice Question #319

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

A biologist models the growth of a bacteria colony. The colony's population doubles every 15 hours. The function \( P(m) \) represents the population \( m \) minutes after the initial observation. If the population increases by a fraction \( f \) every minute, which of the following equations correctly defines \( f \)?
Select Your Answer:
Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
Tactical Insight (Hint 1)

Express the growth/decay rate in factor form: \( A = P(1 \pm r)^t \). Beware whether \( t \) is in years, months, or quarters.

Elimination Framework (Hint 2)

Desmos Tactical Shortcut: Plot the left-hand side and right-hand side as separate equations (e.g. \( y_1 = f(x) \) and \( y_2 = g(x) \)). Click the intersection points directly to read exact coordinates.

Masterclass Solution & Distractor Trap Analysis

This question tests your ability to manipulate exponential growth models, specifically focusing on converting time units and understanding fractional growth rates. Step 1: Set up the base exponential model. The population doubles every 15 h...

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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