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In professor Hoepker's class, there are X tests and a final. At the end of the semester, the lowest Y test scores are dropped and the remaining test scores and the final (which has twice the weight of a test) are averaged to compute the average score for the entire class. The final cannot be dropped. Going into the final, student Kaytee has an average of W on the X tests. The sum of her lowest Y test scores is L. Her final exam score is S. Find her average score G in the class in terms of X, Y, W, L, and S.

Answer :

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Step-by-step explanation:

Kaytee's total points are WX + 2S − L.  The total number of exams is W − Y + 2.  Therefore:

G = (WX + 2S − L) / (X − Y + 2)

The total number of exams is W − Y + 2.

We have given that,

In professor Hoepker's class, there are X tests and a final. At the end of the semester, the lowest Y test scores are dropped and the remaining test scores and the final (which has twice the weight of a test) are averaged to compute the average score for the entire class. The final cannot be dropped.

Going into the final, student Kaytee has an average of W on the X tests. The sum of her lowest Y test scores is L. Her final exam score is S.

What is the sum?

The sum brings two or more numbers together to make a new total.

We have to determine her average score of G in the class in terms of X, Y, W, L, and S.

Kaytee's total points are WX + 2S − L.  

The total number of exams is W − Y + 2.

Therefore:G = (WX + 2S − L) / (X − Y + 2)

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