A mammalogist observes that a herd of elephants increases by 8% each year. If the herd starts with 125 elephants, how many elephants are there after 2 years?
["How Elephant Herds Grow: A Mammalogist’s Observation on Population Increase", "Elephants have long fascinated scientists and nature lovers alike, not only for their intelligence and social complexity but also for their steady population growth in favorable habitats. A recent study by a dedicated mammalogist reveals a remarkable trend: elephant herds increase by 8% annually. This growth pattern is crucial for conservation planning and understanding how these keystone species sustain and expand their populations.", "If we start with a herd of 125 elephants, observing a steady 8% annual increase, how many elephants can we expect after two years? This question highlights the power of compound growth in biological populations and offers insight into long-term wildlife management.", "### Understanding Annual Growth: The 8% Rate", "Growth at 8% per year means each year the herd size multiplies by 1.08. This is calculated using the compound growth formula:", "[\n\ ext{Final Population} = \ ext{Initial Population} \ imes (1 + \ ext{growth rate})^n\n]", "Where:\n- Initial population = 125\n- Growth rate = 8% = 0.08\n- Number of years, ( n = 2 )", "### Applying the Formula", "Start with year one:", "[\n125 \ imes 1.08 = 135 \quad \ ext{(after Year 1)}\n]", "Then, apply growth again for Year 2:", "[\n135 \ imes 1.08 = 145.8\n]", "Since we’re counting whole elephants, we round to the nearest whole number:", "[\n\ ext{Final herd size after 2 years} = 146 \ ext{ elephants}\n]", "### The Observer’s Takeaway", "For mammalogists, this gradual but consistent growth reflects healthy habitat conditions, low mortality, and stable reproduction rates. The 8% annual increase is neither explosive nor stagnant—it signals resilience and a promising future if environmental pressures remain controlled.", "Monitoring such trends helps conservationists predict population sizes, allocate resources, and implement timely interventions when needed. As elephants continue their recovery in protected areas across Africa and Asia, understanding this growth offers hope and a scientific basis for enduring conservation strategies.", "---", "In summary: Starting with 125 elephants growing at 8% per year, the herd reaches approximately 146 elephants after 2 years, proving the impact of steady, long-term growth in wild populations."]
