Your test scores in one class are
80 and
84. What possible scores can you earn on your next test to have a test average between
82 and
88, inclusive?
Question content area bottom
Part 1
Your score on the third test must be between
enter your response here
and
enter your response here
, inclusive.
To find the possible scores you can earn on your next test to have a test average between 82 and 88, inclusive, you need to calculate the minimum and maximum score you can achieve.
To find the minimum score, subtract the sum of your previous test scores multiplied by 3 (since there are 3 tests) from the minimum average multiplied by 4 (since there will be 4 tests in total):
Minimum score = (82 * 4) - (80 + 84) * 3 = 328 - 492 = -164
To find the maximum score, subtract the sum of your previous test scores multiplied by 3 from the maximum average multiplied by 4:
Maximum score = (88 * 4) - (80 + 84) * 3 = 352 - 492 = -140
Therefore, the possible scores you can earn on your next test to have a test average between 82 and 88, inclusive, are between -164 and -140.