Moon Base: Underground Colony Growth

Unit 5 · Lesson 3  ·  P(d) = 54,500 · 1.6d   where d = decades since 2240

UNDERGROUND · CROSS-SECTION
Year 2240
54,500 people
moon base population
d = 0 decades
Population Over Time
Timeline Year 2240  (d = 0)
2240 — d = 0    P = 54,500 2270 — d = 3    P ≈ 223,000  (colony keeps growing…)
💡 At d = 0.5 (year 2245):  P(0.5) = 54,500 · 1.6½ = 54,500 · √(1.6) ≈ 68,938. That fractional exponent is what this lesson is really about — drag to exactly 2245 and watch.