eric has unit test scores of 70, 79, 52 and 54 in MATH015. He needs an average of 69.5 or greater to be able to progress to the next class in the math sequence. I final exam counts as 2 tests, write an inequality to find what scores on the final exam eric needs to progree to the next course in the sequence.
avg>=69.5
(70+79+52+54+F+F)/6>=69.5
multipy both sides by 6
then subtract 79+70+52+54 from each side.
then divide each side by 2, solving for F
>=81
To solve this, let's first calculate Eric's current average test score:
1. Add up the scores of his unit tests: 70 + 79 + 52 + 54 = 255
2. Divide the total by the number of unit tests: 255 / 4 = 63.75
Eric's current average test score is 63.75. He needs an average of 69.5 or higher to progress to the next class in the math sequence.
Now, we need to consider the final exam, which counts as two tests. Let's represent the score of the final exam as "x".
To find the minimum score Eric needs on the final exam to meet the required average, we can set up the following inequality:
[(255 + 2x) / 6] ≥ 69.5
Here's the explanation of the inequality:
- 255 represents the sum of Eric's current test scores.
- 2x represents the score on his final exam (since it counts as two tests).
- 6 represents the total number of tests (4 unit tests + 2 final exams) that the average will be calculated from.
- 69.5 represents the required average.
Now, we can solve the inequality to find the minimum score Eric needs on the final exam:
[(255 + 2x) / 6] ≥ 69.5
Multiply both sides by 6 to get rid of the denominator:
255 + 2x ≥ 417
Subtract 255 from both sides:
2x ≥ 417 - 255
2x ≥ 162
Divide both sides by 2:
x ≥ 81
Therefore, Eric needs a score of 81 or higher on the final exam to progress to the next class in the math sequence.