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?

Question

Question content area bottom
Part 1
A.94
94
B.
70
C.47
47

Answer 1

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.