Question

Trent earns score of 65, 84 and 76 on three chapter Test for a certain class his homework right isPlease check photo

Answer 1

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:

`\begin{gathered} =(65+84+76)/(3) \\ \\ =(225)/(3) \\ \\ =75 \end{gathered}`

75 point - 40%

65 points - 20%

69 points - 20%

x points - 20%

Overall score must be 70 or better,

`\begin{gathered} (40)/(100)(75)+(20)/(100)(65)+(20)/(100)(69)+(20)/(100)(x)\ge70 \\ \\ (0.4*75)+(0.2*65)+(0.2*69)+(0.2x)\ge70 \\ \\ 30+13+13.8+0.2x\ge70 \\ \\ 0.2x+56.8\ge70 \\ \\ 0.2x\ge13.2 \\ \\ x\ge(13.2)/(0.2) \\ \\ x\ge66 \end{gathered}`

Overall score highest score 100.

`\begin{gathered} 0.2x+56.8\leq100 \\ \\ 0.2x\leq43.2 \\ \\ x\leq(43.2)/(0.2) \\ \\ x\leq216. \end{gathered}`

So Trent needs to score between 66 to 216.