SAT Math Practice Question #557 (Hard (800)) | Test Citadel
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SAT Math Difficulty: Hard (800)

Digital SAT Math Practice Question #557

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

The population of a certain bacteria colony triples every \( k \) hours. If the population increases by exactly \( 400\% \) in \( 14 \) hours, what is the value of \( k \) to the nearest tenth?
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Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
Tactical Insight (Hint 1)

Break down the given equation or algebraic constraints step-by-step. Isolate the target variable before substituting known quantities.

Elimination Framework (Hint 2)

Elimination Shortcut: Check the extremes or test answer choices starting with C to binary search the correct magnitude.

Masterclass Solution & Distractor Trap Analysis

This is a quintessential 800-level SAT Math trap! It tests your ability to read carefully and properly construct exponential models. Step 1: Understand "increases by 400%". The SAT notoriously preys on students who see "400%" and write a mu...

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

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