Your test scores in one class are 79 and 87. What possible scores can you earn on your next test to have a test average between 83 and 88, inclusive?
To find the range of scores on the next test that will result in a test average between 83 and 88, we need to calculate the average of the given test scores and the range of averages for the next test.
Let's first calculate the average of the given test scores: (79 + 87) / 2 = 83
We want the average of the three test scores (including the next test) to be between 83 and 88, inclusive.
To achieve an average of 83 with the next test, the sum of the three scores should be 83 * 3 = 249.
To achieve an average of 88 with the next test, the sum of the three scores should be 88 * 3 = 264.
Since the current sum of the two test scores is 79 + 87 = 166, the possible scores on the next test can be calculated as follows:
For an average of 83: 249 - 166 = 83
For an average of 88: 264 - 166 = 98
Therefore, the possible scores on your next test to have a test average between 83 and 88 inclusive are 83 and 98.