Final answer:
a. 3.5 in To determine the experimental conversion factor between inches and centimeters, one would typically use the conversion factor 1 inch = 2.54 centimeters, dividing by 2.54 to convert from centimeters to inches and multiplying by 2.54 to convert from inches to centimeters.
Step-by-step explanation:
To determine the experimental conversion factor for inches and centimeters, you divide the length in centimeters (cm) by the length in inches (in). An established conversion factor is that 1 inch is equivalent to 2.54 centimeters. Therefore, if you have a measurement in centimeters, you could divide by 2.54 to estimate the number of inches. Conversely, to convert inches to centimeters, you multiply the length in inches by 2.54.For example, to convert 3.5 inches to centimeters:
3.5 in × 2.54 cm/in = 8.89 cmAnd to convert 9 centimeters to inches9 cm ÷ 2.54 cm/in = 3.54 iThe numbers and units are multiplied in dimensional analysis, simplifying the units accordingly to ensure the correct conversion is achieved.To determine the experimental conversion factor for inches and centimeters, you need to divide centimeters by inches. Let's take the first example of 3.5 inches:Convert inches to centimeters by using the conversion factor: 2.54 centimeters per 1 inch.Multiply 3.5 inches by the conversion factor: 3.5 in × (2.54 cm / 1 in) = 8.89 cm.Therefore, the experimental conversion factor for 3.5 inches is approximately 8.89 cm.