To find the possible scores on the next test, we need to determine the overall score range for the class average.
The current average is given by (81 + 85 + x) / 3, where x represents the score on the next test.
To find the range, we multiply the current average (83) by 3, and the current average (88) by 3.
Hence, the overall score range is 249 to 264.
Setting up an inequality:
249 ≤ (81 + 85 + x) / 3 ≤ 264
Multiplying through by 3:
747 ≤ 81 + 85 + x ≤ 792
Combining like terms:
747 ≤ 166 + x ≤ 792
Subtracting 166 from all parts of the inequality:
581 ≤ x ≤ 626
Therefore, the possible scores on the next test to have a test average between 83 and 88 inclusive range from 581 to 626.
Your test scores in one class are 81 and 85. What possible scores can you earn on your next test to have a test average between 83 and 88 inclusive.
1 answer