Afriend has a 84% average before the final exam for a course. that score includes everything but the final, which counts for 30% of the course grade. what is the best course grade your friend can earn? what is the minimum score would your friend would need on the final to earn a 75% for the course?

Based on the information given the best course grade your friend can earn is 88.8% the minimum score would your friend would need on the final to earn a 75% for the course is 54%.

Best grade = (84%)(0.7) + (100%)(0.3)

Best grade=0.588+.30

Best grade=0.888 or 88.8%

Let final=30% of the grade

Let class work=(110%-30%)=70%

Let your friend minimum score =f

Hence,

70%(0.84) + 30%(final) = 75%

0.7(0.84) + 0.3f = 0.75

0.588 + 0.3f = 0.75

Collect like terms

0.3f=0.588-0.75

0.3f = 0.162

Divide both side by 0.3f

f=0.162/0.3

f =0.54 or 54%

Inconclusion the best course grade your friend can earn is 88.8% the minimum score would your friend would need on the final to earn a 75% for the course is 54%.

Learn more about minimum score here:link

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.