HW 2.1
Question 7, 3.1.34
HW Score: $34.93 \%, 8.73$ of 25
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A student's course grade is based on one midterm that counts as $15 \%$ of his final grade, one class project that counts as $15 \%$ of his final grade, a set of homework assignments that counts as $35 \%$ of his final grade, and a final exam that counts as $35 \%$ of his final grade. His midterm score is 62 , his project score is 80 , his homework score is 83 , and his final exam score is 63. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on.
His overall final score is
(Type an integer or a decimal. Do not round.)
Answer
\(\boxed{\text{The student earned a C.}}\)
Step 1 ：Calculate the contribution of the midterm to the final grade: \(62 \times 0.15 = 9.3\)
Step 2 ：Calculate the contribution of the project to the final grade: \(80 \times 0.15 = 12\)
Step 3 ：Calculate the contribution of the homework to the final grade: \(83 \times 0.35 = 29.05\)
Step 4 ：Calculate the contribution of the final exam to the final grade: \(63 \times 0.35 = 22.05\)
Step 5 ：Add all these contributions together to get the overall final score: \(9.3 + 12 + 29.05 + 22.05 = 72.4\)
Step 6 ：\(\boxed{\text{So, the student's overall final score is 72.4.}}\)
Step 7 ：\(\boxed{\text{The student earned a C.}}\)
