Final answer:
Amy's goal should be to complete the 400 meter run in 72 seconds, which is 10% less time than her current best of 1 minute and 20 seconds.
Step-by-step explanation:
The question involves calculating a new time goal for Amy if she wants to improve her 400 meter run time by 10%. Her current best time is 1 minute and 20 seconds. First, we need to convert her current time into seconds: 1 minute is 60 seconds, so 1 minute and 20 seconds is 80 seconds. Next, we calculate 10% of her current time: 10% of 80 seconds is 8 seconds. We then subtract the 10% from her original time to find her new goal time: 80 seconds - 8 seconds equals 72 seconds. Therefore, Amy should aim to complete the 400 meters in 72 seconds.