Question 10

1 yard is approximately 0.914 meters.

To convert yards to meters, we can use the relationship that 1 yard equals 3 feet and that 1 meter equals approximately 3.281 feet. By converting 1 yard into feet and then into meters, we find that 1 yard is approximately 0.914 meters.

A) 3.657 meters

This option is incorrect because it significantly overestimates the conversion from yards to meters. Given the defined relationships, 1 yard cannot equal 3.657 meters as it contradicts the conversion factors provided.

B) 0.914 meters

This option is correct. Converting 1 yard to feet gives us 3 feet, and dividing by the conversion factor of feet to meters (3.281) results in approximately 0.914 meters. This aligns perfectly with the established conversion ratios.

C) 1.094 meters

This option is incorrect as it suggests that 1 yard is greater than 1 meter. Given the conversion factors, 1 yard is less than 1 meter, making this estimate inaccurate.

D) 3.0 meters

This option is also incorrect. It vastly overstates the metric equivalent of 1 yard, as 3 meters would be equivalent to approximately 3.281 yards, not 1 yard. Thus, this choice does not align with the conversion relationships.

Conclusion

The correct answer, 0.914 meters, accurately reflects the conversion from yards to meters based on the provided relationships. All other options are incorrect as they either overestimate or misrepresent the conversion, demonstrating a misunderstanding of the metric system's equivalencies.