A friend has a 83% average before the final exam for a course. That score includes everything but the final, which counts for 30% of the course grade.

A : What is the best course grade your friend can earn?

B: What is the minimum score would your friend would need on the final to earn a 75% for the course?

Give answers accurate to at least one decimal place.

Respuesta :

Answer:

  • 88.1%
  • 56.3%

Step-by-step explanation:

If f represents the score on the final exam, the final grade (g) is ...

  g = 83%×0.70 + f×0.30

  g = 58.1% + 0.30f

A. If f is 100%, then the resulting final grade is

  g = 58.1% + 0.30×100% = 88.1%

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B. To earn 75%, the grade on the final would need to be ...

  75% = 58.1% + 0.30f

  16.9% = 0.30f

  16.9%/0.30 = f ≈ 56.3%