A plant biologist modifies a plant species to grow 25% faster than its natural counterpart. If the natural growth rate is modeled by $ g(t) = 4t $ (in cm per week), what is the growth rate of the modified plant?

["A Plant Biologist Revolutionizes Growth: Accelerating Plant Development by 25% with Genetic Modification", "In a groundbreaking advancement in agricultural biotechnology, plant biologists have successfully engineered a plant species to grow 25% faster than its natural counterpart. This innovation holds significant promise for improving crop yields, shortening production cycles, and enhancing food security in a growing global population.", "The natural growth of the plant species is modeled mathematically by the function:\n$$\ng(t) = 4t \quad \ ext{(in cm per week)}\n$$\nwhere $ t $ is time in weeks. This linear model represents the plant’s weekly growth accumulation over time.", "To determine the growth rate of the genetically modified plant, researchers increased this natural baseline by 25%. A 25% increase corresponds to multiplying the original growth rate by 1.25. Thus, the new growth rate function becomes:\n$$\ng_{\ ext{modified}}(t) = 1.25 \ imes g(t) = 1.25 \ imes 4t = 5t\n$$\nThis means the modified plant now grows at 5 cm per week—a clear and measurable 25% improvement over the natural growth rate.", "Such advancements demonstrate how precise genetic modification can dramatically enhance plant development, offering practical benefits in commercial agriculture and sustainable farming. As plant biologists continue to refine growth traits, the future of accelerated plant breeding looks brighter than ever—blending science, efficiency, and environmental stewardship.", "This innovation not only showcases the power of modern plant biology but also highlights how complex modeling like $ g(t) = 4t $ translates directly into real-world biological improvement, transforming theoretical growth patterns into faster, more productive crops."]