Question

Suppose your final grade in this class is based on the following system:Class participation 10% homework 20%test average 30% final exam 25%quiz average 15%Given the grades listed below, what would your final grade in the class be?test grades(78, 87, 93, 75) quiz average (85)Class participation (95) homework(75)final exam(63)choices:A. 83B. 70C. 88D. 78

Answer 1

to find a percentage we multiply by the number and divide by 100

class participation

`\begin{gathered} 95*(10)/(100) \\ =9.5 \end{gathered}`

homework

`\begin{gathered} 75*(20)/(100) \\ =15 \end{gathered}`

test average

first find the average

`\begin{gathered} (78+87+93+75)/(4) \\ =83.25 \end{gathered}`

then the percentage

`\begin{gathered} 83.25*(30)/(100) \\ =24.975 \end{gathered}`

Final Exam

`\begin{gathered} 63*(25)/(100) \\ =15.75 \end{gathered}`

Quiz average

`\begin{gathered} 85*(15)/(100) \\ =12.75 \end{gathered}`

finally we add to get the final grade

`\begin{gathered} 9.5+15+24.975+15.75+12.75 \\ =77.97 \end{gathered}`

the final grade is 78