To find the possible scores you can earn on your next test, we need to consider the average of the three tests. The average is calculated by adding up the scores of the three tests and dividing by 3.
Let's call the score on the third test "x".
The average of the three tests is: (81 + 87 + x) / 3
We want this average to be between 84 and 99, inclusive.
Setting up the inequality, we have:
84 ≤ (81 + 87 + x)/3 ≤ 99
Multiplying both sides of the inequality by 3 to eliminate the fraction, we get:
252 ≤ 81 + 87 + x ≤ 297
Next, we combine like terms:
252 ≤ 168 + x ≤ 297
Subtracting 168 from all sides, we have:
84 ≤ x ≤ 129
Therefore, the possible scores you can earn on your next test to have a test average between 84 and 99, inclusive, are 84, 85, 86, ..., 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.
(Use ascending order.)
1 answer
3 answers