Final answer:
Fernando's height is first converted to inches (72.25 inches) and then multiplied by the conversion factor of 2.54 cm per inch, resulting in a height of 183.635 centimeters. The closest provided option to this value is c (181.24 cm).
The correct answer is C.
Step-by-step explanation:
The student's question is asking how to convert Fernando's height from feet and inches to centimeters. To convert Fernando's height, which is 6 feet and 1/4 inches to centimeters, we first convert the feet to inches and then use the conversion factor 1 inch equals 2.54 centimeters.
There are 12 inches in a foot, so Fernando's height in inches is:
6 feet x 12 inches/foot = 72 inches
Plus 1/4 inch gives us 72.25 inches in total.
Now, using the conversion factor:
72.25 inches x 2.54 centimeters/inch = 183.635 centimeters.
Therefore, Fernando's height is 183.635 centimeters, so option a (187.96 cm), b (196.85 cm) and d (175.25 cm) are not correct. Since 183.635 is not listed and is closest to option c (181.24 cm), the correct answer is closest to option c.