A saturating curve
Photosynthesis rises quickly with CO2 at first and then levels off, like most enzyme driven processes. This model uses a simple saturating curve, rate proportional to (C minus 50) / (C minus 50 + K), with 50 ppm as the point where leaves stop gaining carbon. K is set so that 1,000 ppm gives about 50 percent more photosynthesis than 400 ppm, a common rule of thumb.
Real responses depend on light, temperature and crop, and leaves can acclimate to long enrichment. Treat the numbers as a teaching model.
Why vents change everything
With vents open, the house trades air with the outdoors, so the canopy drifts toward 400 ppm. The model assumes only 30 percent of the enrichment survives with vents open, a simplified assumption. Enrichment pays best in cool seasons when vents stay shut.