1. The problem asks to find the time in months it takes for the glaciers in Denali National Park and the Himalayas to melt a total of 12 meters. 2. From the graph description, the melt over time is linear for both glaciers. The formula for a linear relationship is: $$y = mx$$ where $y$ is the melt in meters, $m$ is the rate of melt per month, and $x$ is the time in months. 3. For the Himalayas, the line passes through $(5, 15)$, so the melt rate $m$ is: $$m = \frac{15}{5} = 3 \text{ meters per month}$$ 4. To find the time $x$ when the melt $y$ is 12 meters, use: $$12 = 3x$$ Divide both sides by 3: $$12 = \cancel{3}x \div \cancel{3} \Rightarrow 4 = x$$ So, the Himalayas glaciers melt 12 meters after 4 months. 5. For Denali National Park, the line passes through $(10, 15)$, so the melt rate $m$ is: $$m = \frac{15}{10} = 1.5 \text{ meters per month}$$ 6. To find the time $x$ when the melt $y$ is 12 meters, use: $$12 = 1.5x$$ Divide both sides by 1.5: $$12 = \cancel{1.5}x \div \cancel{1.5} \Rightarrow 8 = x$$ So, the Denali National Park glaciers melt 12 meters after 8 months. **Final answers:** - Himalayas: 4 months - Denali National Park: 8 months