Given:
Trent earns score = 65, 84 and 76.
Homework grade = 65
Class project = 69
Test makes = 40%
Home work = 20%
Project account = 20%
Find-:
Trent needs to score between
Explanation-:
The average of three test scores is:
[tex]\begin{gathered} =\frac{65+84+76}{3} \\ \\ =\frac{225}{3} \\ \\ =75 \end{gathered}[/tex]
75 point - 40%
65 points - 20%
69 points - 20%
x points - 20%
Overall score must be 70 or better,
[tex]\begin{gathered} \frac{40}{100}(75)+\frac{20}{100}(65)+\frac{20}{100}(69)+\frac{20}{100}(x)\ge70 \\ \\ (0.4\times75)+(0.2\times65)+(0.2\times69)+(0.2x)\ge70 \\ \\ 30+13+13.8+0.2x\ge70 \\ \\ 0.2x+56.8\ge70 \\ \\ 0.2x\ge13.2 \\ \\ x\ge\frac{13.2}{0.2} \\ \\ x\ge66 \end{gathered}[/tex]
Overall score highest score 100.
[tex]\begin{gathered} 0.2x+56.8\leq100 \\ \\ 0.2x\leq43.2 \\ \\ x\leq\frac{43.2}{0.2} \\ \\ x\leq216. \end{gathered}[/tex]
So Trent needs to score between 66 to 216.
