An entomologist introduces 150 beneficial insects into a crop field to control pests. If the population increases by 40% weekly, what is the population after 3 weeks? - Abbey Badges
Entomologist Uses 150 Beneficial Insects to Control Crop Pests — Here’s What Happens After 3 Weeks with a 40% Weekly Growth
Entomologist Uses 150 Beneficial Insects to Control Crop Pests — Here’s What Happens After 3 Weeks with a 40% Weekly Growth
In a groundbreaking approach to sustainable agriculture, entomologists are turning to nature’s smallest allies to combat harmful crop pests. By introducing 150 beneficial insects into infested fields, farmers can replace chemical pesticides with eco-friendly biocontrol strategies. In one real-world trial, this approach showed remarkable promise—and the math behind its success reveals powerful growth.
How Beneficial Insects Help Control Crop Pests
Understanding the Context
Beneficial insects—such as ladybugs, lacewings, parasitic wasps, and predatory mites—act as natural predators or parasites to destructive pests like aphids, caterpillars, and mites. By releasing carefully selected species, entomologists create a self-sustaining ecosystem where pest populations are suppressed without harming the environment or beneficial pollinators.
The key to long-term success lies in population expansion. Successful programs ensure these beneficials multiply rapidly under field conditions, effectively outpacing pest outbreaks.
Projected Growth: A 40% Weekly Increase
In the tested scenario, introducing 150 beneficial insects led to a steady 40% weekly population increase. This exponential growth reflects the insects’ high reproductive rates and adaptability when provided with ideal conditions—such as ample native food sources, shelter, and minimal pesticides.
Key Insights
Here’s the population growth calculated week by week:
- Week 0 (initial release): 150 insects
- Week 1: 150 × 1.40 = 210 insects
- Week 2: 210 × 1.40 = 294 insects
- Week 3: 294 × 1.40 = 411.6 insects (approximately 412 insects)
After three weeks, the population reaches nearly 412 beneficial insects, creating a robust biological defense against pests.
Why This Matters for Sustainable Farming
The rapid growth and sustained presence of beneficial insects not only reduce crop damage but also lower reliance on synthetic chemicals. This model supports biodiversity, cuts long-term costs, and minimizes environmental impact.
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By harnessing nature’s balance through strategic releases, entomologists are paving the way for smarter, more resilient farming systems—one insect at a time.
Key takeaway: A biological invasion of 150 beneficial insects, growing by 40% each week, expands to over 410 individuals by week three—proving that nature’s tiny warriors can deliver big-time pest control.
