To find the score on the third test that would give an average between 84 and 99, we need to calculate the average of the current scores and set up an equation.
The average of the current scores is equal to (81 + 87)/2 = 84.
If we let x represent the score on the third test, the average including the third test score is (81 + 87 + x)/3.
To find the range of possible scores for the third test, we need to solve the following inequality:
84 ≤ (81 + 87 + x)/3 ≤ 99
Multiplying all terms by 3 to remove the denominator:
252 ≤ 81 + 87 + x ≤ 297
Combining like terms:
252 ≤ 168 + x ≤ 297
Subtracting 168 from all terms:
84 ≤ x ≤ 129
Therefore, the possible scores on the third test that would give an average between 84 and 99, inclusive, are between 84 and 129.
Your test scores in one class are 81 and 87. What possible scores can you earn on your next test to have a test average between 84 and 99, inclusive?
Your score on the third test must be between
enter your response here and
enter your response here, inclusive
1 answer
3 answers