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.

Question

Juicy

Mathematics

13 October, 14:24

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.

+4

Answers (1)

Know the Answer?

Scott · Answer 1

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%

__

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%