An ichthyologist measures coral reef fish biomass and finds it decreased exponentially by 8% per year. If the initial biomass was 2,500 kg, what will it be after 5 years? (Round to nearest whole number.)

Fri, 17 Apr 2026 19:34:24 +0000

**Understanding the Hidden Decline in Coral Reef Fish Biomass**
Why are scientists noticing a steady drop in marine life, and what does it mean for ocean health? An ichthyologist measures coral reef fish biomass and finds it decreased exponentially by 8% per year. If the initial biomass was 2,500 kg, what will remain after five years? Round to the nearest whole number. This isn’t just a statistic—it reflects broader ecological shifts tied to climate change, overfishing, and habitat loss, all factors shaping the future of marine ecosystems. For those tracking ocean trends, this figure underscores the urgent need to understand and address reef degradation before its impact becomes irreversible. A rising number of researchers and environmental scientists are documenting declining biomass using precise, data-driven models. The exponential drop of 8% annually means the volume shrinks consistently, not linearly—each year compounding the loss. Starting from 2,500 kg, this gradual erosion adds up significantly over time, highlighting a silent crisis beneath the waves. Understanding the math behind this decline helps put the trend into perspective, offering clarity for anyone exploring marine conservation. **Why This Trend Is Gaining Attention in the US**
In the United States, growing concern over coral reef decline is fueled by visible environmental changes and shifting public awareness. Reports from fisheries, marine research institutions, and conservation organizations emphasize how plummeting biomass threatens biodiversity and the long-term viability of coastal economies. With coral reefs supporting fisheries, tourism, and shoreline protection, experts link the 8% annual loss to broader ecosystem instability.
The number resonates with policymakers, educators, and concerned citizens alike—offering a clear, measurable indicator of environmental stress. Social media, science forums, and educational platforms frequently discuss findings like this, reflecting a national conversation about sustainability and the future of ocean life. This trend is no longer fringe; it’s a recognized priority in environmental discourse. **How An Ichthyologist Measures Coral Reef Fish Biomass and Calculates Decline**
An ichthyologist measures coral reef fish biomass by sampling individual species across designated reef zones, then estimates total weight using coded population surveys and standardized sonar imaging. This data is compiled into models that track changes over time. When the initial biomass is 2,500 kg and declines exponentially by 8% annually, each year’s count is calculated by reducing the prior year’s value by 8%.
This exponential decay means the biomass isn’t halved every two years—it shrinks faster as smaller populations become increasingly vulnerable. The formula used is:
Final biomass = Initial biomass × (1 – rate)^years
Applying this: 2,500 × (0.92)^5 ≈ 2,500 × 0.659 = 1,647.5, rounded to 1,648 kg after five years. This rounded figure reflects common ISO and scientific reporting practices, balancing precision with readability.