A student has received scores of 82, 85, and 89 on three quizzes. If tests count twice as much as quizzes, what is the lowest score the student can get on the next test to achieve an average score of at least 70?
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Part 1
A.94
94
B.
70
C.47
47
B. 70
To find the answer, we need to calculate the total weighted score the student needs to achieve an average of at least 70.
Total weighted score = Sum of quiz scores + 2*(test score)
Total weighted score = 82 + 85 + 89 + 2x
The average score is calculated by dividing the total weighted score by the number of assessments (3 quizzes and 1 test):
Average score = (82 + 85 + 89 + 2x) / 4
Now, we set up the equation to solve for x:
(82 + 85 + 89 + 2x) / 4 ≥ 70
(256 + 2x) / 4 ≥ 70
256 + 2x ≥ 280
2x ≥ 24
x ≥ 12
Therefore, the lowest score the student can get on the next test to achieve an average score of at least 70 is 70.