To calculate Larry's average speed for the given intervals, we use the formula for average speed:
\[ \text{Average Speed} = \frac{\text{Distance}}{\text{Time}} \]
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Average speed from hour 2 to hour 4:
- Distance at hour 2: 13.5 miles
- Distance at hour 4: 27.5 miles
- Distance traveled from hour 2 to hour 4: \(27.5 - 13.5 = 14\) miles
- Time elapsed from hour 2 to hour 4: \(4 - 2 = 2\) hours
\[ \text{Average Speed} = \frac{14 \text{ miles}}{2 \text{ hours}} = 7 \text{ miles per hour} \]
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Average speed from hour 4 to hour 7:
- Distance at hour 4: 27.5 miles
- Distance at hour 7: 48.5 miles
- Distance traveled from hour 4 to hour 7: \(48.5 - 27.5 = 21\) miles
- Time elapsed from hour 4 to hour 7: \(7 - 4 = 3\) hours
\[ \text{Average Speed} = \frac{21 \text{ miles}}{3 \text{ hours}} = 7 \text{ miles per hour} \]
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Comparison of average speeds:
- Average speed from hour 2 to hour 4: 7 miles per hour
- Average speed from hour 4 to hour 7: 7 miles per hour
Since the average speeds for both intervals are the same (7 miles per hour), we conclude that:
- Larry stayed the same in terms of speed between hour 2 to hour 4 and hour 4 to hour 7.
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