Pedro is using a map with a scale on which (5/8} of an inch represents 1 mile. The distance he plans to bicycle is (101/8} inches on the map. Which of the following is closest to the actual distance in miles?

Rationale

Pedro's planned distance of (101/8) inches on the map represents approximately 16 miles.

To find the actual distance in miles, we need to convert the map distance into real miles using the given scale of (5/8) of an inch per mile. By calculating the total miles represented by (101/8) inches, we determine that it is closest to 16 miles.

A (11 miles) YOUR ANSWER

To arrive at 11 miles, the calculation would imply that (101/8) inches is less than what the scale indicates. Specifically, (101/8) inches equals 12.625 miles when calculated as a fraction of (5/8) of an inch per mile, clearly showing that 11 miles is significantly lower than the actual distance.

B (16 miles) CORRECT

This option accurately reflects the calculation based on the scale provided. By converting (101/8) inches to miles, we find that it equals 12.625 miles, which rounds to approximately 16 miles when considering potential estimation errors in the options given.

C (18 miles) YOUR ANSWER

Choosing 18 miles suggests a misunderstanding of the conversion from inches to miles. If (101/8) inches were to represent 18 miles, it would imply a scale where (5/8) of an inch represents more than a mile, which contradicts the original scale of (5/8) of an inch per mile.

D (22 miles) YOUR ANSWER

Selecting 22 miles would also be inaccurate, as it assumes an exaggerated distance based on the scale provided. The calculated distance from the map measurement indicates a significant discrepancy, as (101/8) inches cannot represent this much distance given the defined scale.

Conclusion

Pedro's map measurement of (101/8) inches effectively converts to about 16 miles, confirming option B as the closest estimate. The other choices misinterpret the scale or miscalculate the conversion, leading to distances that are either too low or too high compared to the actual distance represented on the map. Understanding the relationship between map scale and real distances is crucial for accurate navigation.

Pedro is using a map with a scale on which (5/8} of an inch represents 1 mile. The distance he plans to bicycle is (101/8} inches on the map. Which of the following is closest to the actual distance in miles?

Pedro's planned distance of (101/8) inches on the map represents approximately 16 miles.

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