Final answer:
You can calculate the maximum grade you can get on the final exam by multiplying your current grade by 0.75 (1 - 0.25). To determine how much less you can take in the final exam to maintain an A, you subtract the maximum grade you can get from 100.
Step-by-step explanation:
To calculate how much less you can take in the final exam to keep your total grade, you need to determine the weight of the final exam in your overall grade. Since the final exam is 25% of your total grade, you can calculate the maximum percentage you can score on the final exam by multiplying your current grade by 0.75 (1 - 0.25). So, if your total grade is 97, the maximum grade you can get on the final exam to maintain an A is 97 * 0.75 = 72.75.
Therefore, you will need to score at least 72.75 on the final exam to keep your total grade as an A.
However, to determine how much less you can take in the final exam, you subtract 72.75 from 100. This gives you the maximum percentage you can score less than 100 to keep an A, which is 100 - 72.75 = 27.25%.