1. Given that 3 feet (ft) = 1 yard (yd) and 3.281 ft = 1 meter, approximately how many meters is 1 yd?
Answer: A
1 yard is approximately 1.09 meters.
To convert yards to meters, you can use the relationships that 3 feet equal 1 yard and 3.281 feet equal 1 meter. Therefore, 1 yard is approximately 1.09 meters.
A) 1.09 meters
This option is correct because it accurately reflects the conversion of 1 yard into meters. Given that 1 yard equals 3 feet, and knowing that 3.281 feet is equivalent to 1 meter, dividing 3 feet by 3.281 feet per meter yields approximately 0.914 meters. Thus, 1 yard is approximately 1.09 meters when calculated correctly.
B) 3.657 meters
This option is incorrect as it significantly overestimates the meter equivalent of a yard. The correct conversion shows that 1 yard is much less than 3 meters, specifically around 1.09 meters, making this option invalid.
C) 3.0 meters
This option is also incorrect because it misrepresents the conversion from yards to meters. A yard is far less than 3 meters, and this choice fails to reflect the accurate ratio of yards to meters that has been established.
D) 0.94 meters
While this option is closer, it still does not accurately represent the conversion from yards to meters. The correct conversion shows that 1 yard is approximately 1.09 meters, making this option an underestimate.
Conclusion
The correct answer, 1.09 meters, accurately reflects the conversion of yards to meters based on the established relationships between feet and meters. All other options either overestimate or underestimate this conversion, confirming that A is the only valid choice.