Final answer:
The temperature at the Arctic observatory was -12 degrees F at 9:00 am, rose to -7 degrees F by 5:00 pm, and dropped to -9 degrees F by 8:00 pm.
Step-by-step explanation:
At 9:00 am, the temperature at an Arctic observatory was -12 degrees F. By 5:00 pm, the temperature had risen 5 degrees to -7 degrees F since a rise in temperature means we add 5 to -12. Over the next three hours, the temperature had dropped 2 degrees, leading to a temperature of -9 degrees F at 8:00 pm, since a drop in temperature means we subtract 2 from -7.
Therefore, the temperature at 8:00 pm was -9 degrees F, which corresponds to option (A) -9 degrees F.