A caterpillar travels 1 foot in 7.5 minutes. At this rate, how many feet does the caterpillar travel in 18 minutes?

Rationale

The caterpillar travels 2.4 feet in 18 minutes.

To find how many feet the caterpillar travels in 18 minutes, we start by determining its rate of travel per minute. The caterpillar moves 1 foot in 7.5 minutes, which means it travels approximately 0.1333 feet per minute. Multiplying this rate by 18 minutes results in 2.4 feet.

A (2.4) CORRECT

This choice correctly represents the distance traveled by the caterpillar in 18 minutes. By calculating the travel rate (1 foot per 7.5 minutes), we find that in 18 minutes, the caterpillar travels 2.4 feet when we multiply its rate (0.1333 feet per minute) by 18.

B (8) YOUR ANSWER

This option suggests that the caterpillar travels a much greater distance than its actual rate allows. At the rate of 1 foot per 7.5 minutes, the caterpillar cannot cover 8 feet in 18 minutes, as this would require a significantly faster speed than what is provided in the problem.

C (11.5) YOUR ANSWER

This choice also overestimates the caterpillar's travel distance. Similar to choice B, the caterpillar’s slow rate of travel means it cannot reach this distance within the given time frame of 18 minutes, as it would require more than 86 minutes to travel 11.5 feet.

D (25.5) YOUR ANSWER

This option represents an excessive distance that is unattainable given the caterpillar's speed. It would take the caterpillar over 191 minutes to cover 25.5 feet at its current rate, far exceeding the 18-minute duration stipulated in the question.

Conclusion

The calculation confirms that the caterpillar travels 2.4 feet in 18 minutes, based on its travel rate of 1 foot per 7.5 minutes. All other choices significantly misrepresent this rate, either by suggesting distances that would require speeds beyond the caterpillar's capacity or by failing to adhere to the established travel time. Understanding the relationship between speed, distance, and time is crucial in solving such problems accurately.

A caterpillar travels 1 foot in 7.5 minutes. At this rate, how many feet does the caterpillar travel in 18 minutes?

The caterpillar travels 2.4 feet in 18 minutes.

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