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Gail needs to earn a Upper B in her Geology class. Her current test scores are 82 comma 76 comma 94 comma and 86. Her final exam is worth 6 test scores. In order to earn a Upper B​, Gail's average must lie between 80 and 89 inclusive. What range of scores can Gail receive on the final exam to earn a Upper B in the​ course?

Respuesta :

sqdancefan

Answer:

  [77, 92]

Step-by-step explanation:

Gail wants her average to lie between 80 and 89, so she must have a test score T that satisfies ...

  80 ≤ (82 +76 +94 +86 +6T)/(10) ≤ 89

  80 ≤ 33.8 +0.6T ≤ 89 . . . . . . simplify

  46.2 ≤ 0.6T ≤ 55.2 . . . . . . . . subtract 33.8

  77 ≤ T ≤ 92 . . . . . . . . . . . . . . . divide by 0.6

Gail must receive between 77 and 92 (inclusive) on her final to earn a B in the course.