Plate Tectonics Data Table - Age of Mid-Oceanic Ridge Basalt and Distance from Ridge.

Problem Analysis:

The task involves analyzing the relationship between the age of oceanic crust and its distance from the Mid-Atlantic Ridge (MAR). The provided data table shows the age of the crust in millions of years (Mya) and the corresponding distances from the MAR. The goal is to understand how the distance from the MAR changes with the age of the crust.

Data Table:

| Age of Crust (Mya) | Distance From MAR (km) | Calculated Distance (km) |
|---------------------|------------------------|--------------------------|
| 38 | 1.5 cm | 256 km |
| 63 | 2.0 cm | 3006 km |
| 83 | 2.5 cm | 1025 km |
| 125 | 3.0 cm | 1974 km |
| 225 | 4.0 cm | 2774 km |
| 305 | 6.0 cm | 3356 km |

Key Observations:

1. Distance Units: The "Distance From MAR" column is given in centimeters (cm), while the "Calculated Distance" column is in kilometers (km). This suggests a scaling factor is applied.
2. Scaling Factor: The image indicates that 1 cm on the map represents 800 km in reality. This is a key piece of information for converting distances.
3. Relationship: We need to determine if there is a consistent pattern or relationship between the age of the crust and its distance from the MAR.

Step-by-Step Solution:

#### Step 1: Convert Map Distances to Actual Distances
The map scale is given as 1 cm = 800 km. Using this, we can calculate the actual distances for each entry in the "Distance From MAR" column.

- For 1.5 cm:
\[
\text{Actual Distance} = 1.5 \, \text{cm} \times 800 \, \text{km/cm} = 1200 \, \text{km}
\]

- For 2.0 cm:
\[
\text{Actual Distance} = 2.0 \, \text{cm} \times 800 \, \text{km/cm} = 1600 \, \text{km}
\]

- For 2.5 cm:
\[
\text{Actual Distance} = 2.5 \, \text{cm} \times 800 \, \text{km/cm} = 2000 \, \text{km}
\]

- For 3.0 cm:
\[
\text{Actual Distance} = 3.0 \, \text{cm} \times 800 \, \text{km/cm} = 2400 \, \text{km}
\]

- For 4.0 cm:
\[
\text{Actual Distance} = 4.0 \, \text{cm} \times 800 \, \text{km/cm} = 3200 \, \text{km}
\]

- For 6.0 cm:
\[
\text{Actual Distance} = 6.0 \, \text{cm} \times 800 \, \text{km/cm} = 4800 \, \text{km}
\]

#### Step 2: Compare Calculated Distances with Provided Data
The "Calculated Distance" column in the table provides different values than those calculated above. This suggests that the "Calculated Distance" might be based on a different method or model, such as seafloor spreading rates.

#### Step 3: Analyze the Relationship Between Age and Distance
Seafloor spreading theory states that the distance of oceanic crust from a mid-ocean ridge is proportional to its age. The rate of seafloor spreading can be estimated using the formula:
\[
\text{Distance} = \text{Age} \times \text{Spreading Rate}
\]

From the data, we can estimate the spreading rate by dividing the actual distance by the age of the crust. Let's calculate the spreading rate for a few entries:

- For 38 Mya (1200 km):
\[
\text{Spreading Rate} = \frac{1200 \, \text{km}}{38 \, \text{Mya}} \approx 31.58 \, \text{km/Mya}
\]

- For 63 Mya (1600 km):
\[
\text{Spreading Rate} = \frac{1600 \, \text{km}}{63 \, \text{Mya}} \approx 25.40 \, \text{km/Mya}
\]

- For 83 Mya (2000 km):
\[
\text{Spreading Rate} = \frac{2000 \, \text{km}}{83 \, \text{Mya}} \approx 24.10 \, \text{km/Mya}
\]

The spreading rate appears to vary slightly, which could be due to measurement errors or variations in the spreading process over time.

#### Step 4: Interpret the Results
The data shows that older crust is farther from the MAR, which aligns with the principle of seafloor spreading. The distances increase with age, but the spreading rate is not perfectly constant, indicating variability in the spreading process.

Final Answer:

The relationship between the age of the crust and its distance from the MAR is consistent with seafloor spreading theory. The distances increase with age, and the spreading rate can be approximated as around 25–30 km/Mya, though it varies slightly. The calculated distances in the table likely use a more refined model or additional data.

\boxed{\text{The distance from the MAR increases with the age of the crust, following seafloor spreading principles.}}