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TIER 6 — CHALLENGE 003 — The Chemical Decay Sample - Printable Version +- The Lumin Archive (https://theluminarchive.co.uk) +-- Forum: The Lumin Archive — Core Forums (https://theluminarchive.co.uk/forumdisplay.php?fid=3) +--- Forum: Challenge Arena (https://theluminarchive.co.uk/forumdisplay.php?fid=11) +---- Forum: Tier 4–6 : Intermediate Challenges (https://theluminarchive.co.uk/forumdisplay.php?fid=41) +----- Forum: Tier 6 Challenges — Advanced Problem-Solving (https://theluminarchive.co.uk/forumdisplay.php?fid=61) +----- Thread: TIER 6 — CHALLENGE 003 — The Chemical Decay Sample (/showthread.php?tid=158) |
TIER 6 — CHALLENGE 003 — The Chemical Decay Sample - Leejohnston - 11-14-2025 [border]TIER 6 — Structured Problem Solving[/border] Tier 6 — Challenge 003 — The Chemical Decay Sample A chemical breaks down over time following the function: M(t) = 120 · (0.85)^t Where: • M(t) = mass remaining (grams) • t = number of hours Questions: 1. How much mass remains after **6 hours**? 2. After how many hours will the mass reach **50 grams**? (You may solve using logarithms or iterative reasoning.) 3. What percentage of the chemical decays each hour? Show your modelling clearly. ? Submit Your Attempt Thread title: Tier 6 Attempt — YourUsername — Challenge 003 |