Final Answer:
b. 1 yard/3 feet...because yards would cancel out ratios and their application in unit conversions is crucial to accurately converting measurements from one unit to another. Using the appropriate ratio ensures that the unwanted units cancel out, leaving the desired units in the final result.
Step-by-step explanation:
The correct ratio to convert 36 yards into feet is 1 yard/3 feet. By using this ratio, yards would cancel out, leaving the result in feet. When converting units, the goal is to set up a ratio that eliminates the given unit and leaves the desired unit. In this case, since the initial measurement is in yards and the desired measurement is in feet, setting up the ratio as 1 yard/3 feet allows the cancellation of yards, resulting in the conversion to feet. Thus, the correct choice is option b.
Converting units involves setting up ratios where the units you want to eliminate are positioned opposite to each other in the ratio. In this scenario, yards need to cancel out, leaving feet as the remaining unit. The ratio 1 yard/3 feet facilitates this conversion, as it allows the cancellation of yards, leaving the measurement in feet, thereby converting 36 yards to its equivalent in feet.
Understanding ratios and their application in unit conversions is crucial to accurately converting measurements from one unit to another. Using the appropriate ratio ensures that the unwanted units cancel out, leaving the desired units in the final result.