ACT Math Practice Question #1267 (Medium (31)) | Test Citadel
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ACT Math Difficulty: Medium (31)

Digital ACT Math Practice Question #1267

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A sample of Sodium-24, commonly utilized as a industrial pipeline leak detector, exhibits an initial radioactivity of $800\text{ megabecquerels (MBq)}$. The half-life of Sodium-24 is $15\text{ days}$. What is the remaining radioactivity of the sample, in MBq, after exactly $60\text{ days}$ have elapsed?
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Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
⚡ 15-Second Desmos Speed Hack

Divide by 2 repeatedly: $800 \rightarrow 400 \rightarrow 200 \rightarrow 100 \rightarrow 50$. Takes under 10 seconds.

Masterclass Solution & Distractor Trap Analysis

Calculate the number of half-lives elapsed: $n = \frac{\text{Total Time}}{\text{Half-life}} = \frac{60}{15} = 4$. The remaining activity is given by $A = A_0 \left(\frac{1}{2}\right)^n = 800 \left(\frac{1}{2}\right)^{4} = \frac{800}{16} = 5...

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

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