Final answer:
Juanita uses 1.5 sheets of paper per hour for her social studies class, and over 4 1/2 hours, she would have used a total of 6.75 sheets (front side only).
Step-by-step explanation:
Part A: To find out how many sheets of paper Juanita will use in one hour, we need to calculate the total usage over 4 intervals of 15 minutes because an hour consists of four 15-minute segments. Since Juanita uses 3/8 of a sheet every 15 minutes, in one hour, which is four times that duration, she would use 4 times 3/8, which is 12/8 or 1.5 sheets (front side only).
Part B: To determine how many sheets she used during 4 ½ hours, which is the equivalent to 9 half-hours, we multiply 4.5 by the hourly rate of sheet usage. Since we've established she uses 1.5 sheets per hour, we multiply 4.5 hours by 1.5 sheets to find that Juanita used 6.75 sheets (front side only) while taking notes for 4 ½ hours.