Question

Daniel wants to have a 90 average in his math class at the end of the year. He is trying to determine what he needs to get on his final exam, which accounts for 10% of his grade, for this to work. Tests are weighted 50% of the grade, and he currently has a 85 for his test average; quizzes are weighted 15% of his grade, and he currently has a 95 quiz average; homework is weighted 15% of his grade and he currently has a 98 homework average; and projects are weighted 10% of his grade and he currently has a 92 project average.
What is the lowest whole percentage Daniel can make on his final exam for him to end up with a 90 in the class?

Answer 1

Answer:

d)94

Step-by-step explanation:

Answer 2

Exam + Tests + Quizzes + HW + Projects = 90

Exam = 10% * grade (x) = 0.1 * x 

Tests = 50% * 85 = 0.5 * 85 = 42.5

Quizzes  = 15% * 95 = 0.15 * 95 = 14.25

HW = 15% * 98 = 0.15 * 98 = 14.7

Projects = 10% * 92 = 0.1 * 92 = 9.2

Exam + Tests + Quizzes + HW + Projects = 90

(0.1 * x) + 42.5 + 14.25 + 14.7 + 9.2 = 90

(0.1 * x) + 80.65 = 90         (subtract 80.65 from each side)

(0.1 * x) = 9.35           (divide 0.1 from each side)

(0.1 * x)/0.1 = 9.35/0.1

x = 0.935

The answer is 93.5%