Answer :
Sure, let's break down the solution to find the amount of time and the yearly rate of melting step-by-step.
### Step 1: Multiply the Area of the Location by 15 Years
- Area of the Location: 100 square miles (example value provided)
- Years: 15 years (from 1996 to 2011)
[tex]\[ \text{Total Area Over Time} = 100 \, \text{square miles} \times 15 \, \text{years} = 1500 \, \text{square miles} \cdot \text{years} \][/tex]
### Step 2: Divide by the Area Lost Since 1996
- Area Lost Since 1996: 5 square miles (example value provided for the Mid-Atlantic region)
[tex]\[ \text{Amount of Time} = \frac{\text{Total Area Over Time}}{\text{Area Lost Since 1996}} = \frac{1500 \, \text{square miles} \cdot \text{years}}{5 \, \text{square miles}} = 300 \, \text{years} \][/tex]
### Step 3: Estimating the Yearly Rate of Melting
Based on the provided graph and the options, we are to select the average yearly rate of melting from 2000 to 2019. The options are:
- 0.54 m/yr
- 0.74 m/yr
- 0.88 m/yr
- 0.60 m/yr
The suitable estimated yearly rate of melting is 0.74 m/yr.
### Final Results
- Total Area Over Time: 1500 square miles years (calculated in Step 1)
- Amount of Time: 300 years (calculated in Step 2)
- Yearly Rate of Melting: 0.74 meters per year (selected from the given options)
By following these steps, you can determine the time it takes for a specific area to be covered by water and estimate the yearly rate of melting for glaciers.
### Step 1: Multiply the Area of the Location by 15 Years
- Area of the Location: 100 square miles (example value provided)
- Years: 15 years (from 1996 to 2011)
[tex]\[ \text{Total Area Over Time} = 100 \, \text{square miles} \times 15 \, \text{years} = 1500 \, \text{square miles} \cdot \text{years} \][/tex]
### Step 2: Divide by the Area Lost Since 1996
- Area Lost Since 1996: 5 square miles (example value provided for the Mid-Atlantic region)
[tex]\[ \text{Amount of Time} = \frac{\text{Total Area Over Time}}{\text{Area Lost Since 1996}} = \frac{1500 \, \text{square miles} \cdot \text{years}}{5 \, \text{square miles}} = 300 \, \text{years} \][/tex]
### Step 3: Estimating the Yearly Rate of Melting
Based on the provided graph and the options, we are to select the average yearly rate of melting from 2000 to 2019. The options are:
- 0.54 m/yr
- 0.74 m/yr
- 0.88 m/yr
- 0.60 m/yr
The suitable estimated yearly rate of melting is 0.74 m/yr.
### Final Results
- Total Area Over Time: 1500 square miles years (calculated in Step 1)
- Amount of Time: 300 years (calculated in Step 2)
- Yearly Rate of Melting: 0.74 meters per year (selected from the given options)
By following these steps, you can determine the time it takes for a specific area to be covered by water and estimate the yearly rate of melting for glaciers.