To determine the distance a hockey puck will travel when hit at a speed of 50 miles per hour, we need to analyze the given data and options.
Given the options are:
1. 2,564.19 yards
2. 2,784.00 yards
3. 3,054.12 yards
4. 3,207.00 yards
Analyzing the available data and potential models that typically fit such scenarios:
1. Understand and Identify Prediction Models:
- The output options correspond to distances in yards that are likely empirical measurements or derived from a modeled dataset.
2. Comparison of Given Options:
- Each of these distances should be considered in relation to the typical behavior of a puck's motion.
- For linear models, where the relationship between speed and distance is relatively direct, higher speeds naturally correlate with longer distances.
3. Evaluating Closest Distance:
- Among the provided options, the selection that fits the distance traveled by a hockey puck hit at 50 miles per hour can be identified as follows.
4. Final Decision Step:
- By evaluating empirical data points, models, and the nature of such a physical activity:
Based on the closest value for a puck hit speed of 50 mph, the distance the puck should travel is clearly:
3,207.00 yards.
Thus, the final answer for how far the puck will travel when hit at a speed of 50 miles per hour is:
[tex]\[
\boxed{3,207.00 \text{ yards}}
\][/tex]
