Question

you are asked to convert 57.2 yards into meters. how would you properly set-up the conversion?
○ need to multiply 57.2 yards by 0.91 meters/yard
○ need to multiply 57.2 yards by 30.35 yards/1 meter
○ need to multiply 57.2 yards by 1 yard/30.35 meters
○ need to multiply 57.2 yards by 1 meter/0.91 yards
○ need to multiply 572 yards by 91 meters/yard

Explanation:

To convert yards to meters, we use the conversion factor. We know that 1 yard is approximately 0.9144 meters (or approximately 0.91 meters for simplicity). The correct conversion setup should have yards in the denominator to cancel out the yard unit and leave meters. Let's analyze each option:

• Option 1: Multiplying by 0.91 meters/yard. Since 1 yard ≈ 0.91 meters, this conversion factor (0.91 meters/yard) is correct. When we multiply 57.2 yards by 0.91 meters/yard, the yard units cancel, and we get meters.
• Option 2: 30.35 yards/1 meter is incorrect because this would convert meters to yards (if we had meters) and also the number 30.35 is related to inches in a yard (36 inches in a yard, 39.37 inches in a meter, so 36/39.37≈0.91, not 30.35).
• Option 3: 1 yard/30.35 meters is incorrect as it would not convert yards to meters (units would not cancel properly and the number is wrong).
• Option 4: 1 meter/0.91 yards is incorrect. The correct conversion factor should be meters per yard (since we want to convert yards to meters), so it should be (meters/yard) not (meter/yard) with 0.91 in the denominator.
• Option 5: 91 meters/yard is incorrect as the conversion factor is around 0.91 meters/yard, not 91. Also, the value 572 yards is a typo (should be 57.2).

Answer:

A. Need to multiply 57.2 yards by 0.91 meters/yard