11-14-2025, 10:26 PM
[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
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