A science journalist is creating a visualization showing the growth of global solar capacity from 2010 to 2023. In 2010, it was 40 gigawatts; by 2023, it reached 1,200 gigawatts. Assuming exponential growth, what was the annual growth rate, expressed as a percentage?
["A Science Journalist Is Creating a Visualization Showing the Growth of Global Solar Capacity from 2010 to 2023. In 2010, it was 40 gigawatts; by 2023, it reached 1,200 gigawatts. Assuming exponential growth, what was the annual growth rate, expressed as a percentage?", "Beneath the surface of global energy transformation, a striking story unfolds: solar power capacity has skyrocketed over the past 13 years. From a starting point of just 40 gigawatts in 2010, global solar installations surged to 1,200 gigawatts by 2023—a tenfold increase in under a decade. This dramatic growth reflects not only technological advances but shifting global priorities around sustainability, energy security, and climate resilience. While many associate solar’s rise with policy changes and cost drops, deeper analysis reveals a complex interplay of innovation, investment, and public awareness driving this exponential trajectory.", "Why This Visualization Matters in the US and Beyond \nToday, a growing number of US readers are seeking clear, data-driven insights into clean energy trends. The exponential ascent of solar capacity isn’t just an engineering success story—it’s a window into how renewable technologies reshape economies and lifestyles. For policymakers, investors, and everyday learners, understanding the true pace of growth helps inform decisions about climate strategy, energy independence, and innovation opportunities. The visualization transforms raw data into a narrative that’s both accessible and meaningful, fulfilling a real demand for transparency in a fast-moving sector.", "How Exponential Growth Works in Solar Capacity: A Clear Breakdown", "When considering growth over time, particularly for renewable energy, logarithmic patterns often dominate. The formula for exponential growth is:", "\[\n\ ext{Final} = \ ext{Initial} \ imes (1 + r)^t\n\]", "Where \( r \) is the annual growth rate and \( t \) is time in years. Using the data from this timeline:", "- Initial (2010) = 40 GW \n- Final (2023) = 1,200 GW \n- Time (t) = 13 years", "Substitute into the equation: \n\[\n1,200 = 40 \ imes (1 + r)^{13}\n\]", "Divide both sides by 40: \n\[\n30 = (1 + r)^{13}\n\]", "Take the 13th root of both sides: \n\[\n1 + r = 30^{1/13}\n\]", "Using precise calculation, \( 30^{1/13} \approx 1.168 \), so: \n\[\nr \approx 1.168 - 1 = 0.168\n"]
