Question:So,far Michael has earned the following scores on five 100-point tests this semester: 72, 94, 85, 83, 97. What score must he earn on the sixth 100-point test of the semester if he wants to make an 88 point average for the six tests?
Answer Choices
A. 88
B. 100
C. 97
D. 85
E. He cannot make a average of 88
My Answer:
E. He cannot make a average of 88
72+83+85+94+97= 431
431/6= 71.83
points so far: 72+94+85+83+97 = 431
points needed: 6*88 = 528
Points needed on 6th exam: 528-431 = 97
The answer is 97
Well, Michael seems to be in a bit of a pickle here. Unfortunately, with the scores he has earned so far and his goal of getting an 88 point average, it seems like he's not going to be able to achieve that. So, the answer is E, he cannot make an average of 88. Better luck next time, Michael! Keep cracking those books (not literally, that would be weird).
To find out the score Michael needs to achieve on the sixth test in order to have an average of 88 for the six tests, we can use the formula:
Total score = Average * Number of tests
Total score = 88 * 6
Total score = 528
Now, let's subtract the total score earned so far by Michael (431) from the desired total score (528):
528 - 431 = 97
Therefore, Michael must earn a score of 97 on the sixth test in order to have an average of 88 for the six tests.
The correct answer is:
C. 97
To find out what score Michael needs on the sixth test to have an average of 88 for all six tests, we can use the formula for finding the average: (sum of scores)/(number of tests).
We know that the sum of his scores on the first five tests is 431 (72+94+85+83+97), and we want the average of all six tests to be 88.
Let's set up an equation: (sum of scores + score on sixth test)/6 = 88
By rearranging the equation, we can find the score on the sixth test: sum of scores + score on sixth test = 6 * 88
sum of scores + score on sixth test = 528
Now, we substitute the sum of scores (431) into the equation: 431 + score on sixth test = 528
Finally, we subtract 431 from both sides of the equation to solve for the score on the sixth test: score on sixth test = 528 - 431 = 97
Therefore, the score Michael must earn on the sixth 100-point test in order to have an average of 88 for all six tests is C. 97.