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The caterpillar travels 2.4 feet in 18 minutes.

To determine how far the caterpillar travels in 18 minutes, we first calculate the speed of the caterpillar, which is 1 foot per 7.5 minutes. Therefore, in 18 minutes, the caterpillar covers 2.4 feet.

A) 2.4

This option is correct because if the caterpillar travels 1 foot in 7.5 minutes, then in 18 minutes, it travels 18/7.5 = 2.4 feet. This calculation confirms that the distance covered by the caterpillar is accurately represented by this option.

B) 8

This option is incorrect as it significantly overestimates the distance traveled by the caterpillar. Since the caterpillar only covers 1 foot every 7.5 minutes, traveling for 18 minutes would not yield such a distance.

C) 11.5

This option is also incorrect because it exceeds the actual distance the caterpillar can cover in 18 minutes. The calculation shows that the travel distance cannot reach even 3 feet in that time frame, making 11.5 feet an unrealistic figure.

D) 25.5

This option is incorrect and drastically overstates the caterpillar's travel distance. Given the defined speed, 25.5 feet is far beyond what is possible within the 18-minute duration.

Conclusion

The correct answer, 2.4 feet, accurately reflects the caterpillar's travel distance based on its speed. All other options fail because they miscalculate the distance based on the time given, demonstrating a misunderstanding of the relationship between time and speed in this context.