SAT Math Practice Question #1637 (Medium (580)) | Test Citadel
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SAT Math Difficulty: Medium (580)

Digital SAT Math Practice Question #1637

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

The population of a bacterial colony is modeled by the function \(P(t) = 450(1.24)^{t/3}\), where \(t\) is measured in hours. By what percentage does the population increase every 3 hours?
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Socratic AI Engine Step-by-Step Derivation
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Every 3 hours, t/3 increases by 1, multiplying by 1.24 -> 24% increase.

Masterclass Solution & Distractor Trap Analysis

When \(t = 3\), the exponent is \(3/3 = 1\), and \(P(3) = 450(1.24)^1\). The growth factor is \(1.24 = 1 + 0.24\), which corresponds to a 24% increase every 3 hours....

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

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