Question

Trent earns scores of 60, 90, and 72 on three chapter tests for a certain class. His homework grade is 68 and his grade for a class project is 64. The overall average for the course is computed as follows: the average of the three chapter tests makes up 50% of the course grade; homework accounts for 10% of the grade; the project accounts for 20%; and the final exam accounts for 20%. What scores can Trent earn on the final exam to pass the course if he needs a "C" or better? A "C" or better requires an overall score of 70 or better, and 100 is the highest score that can be earned on the final exam. Assume that only whole-number scores are given. To obtain a "C" or better, Trent needs to score between and Inclusive.

Answer 1

A: 90% - 100%

B: 80% - 89%

C: 70% - 79%

D: 60% - 69%

F: 0% - 59%

Using the data provided:

`0.5((60+90+72)/(3))+0.1(68)+0.2(64)+0.2(x)\ge70`

Where:

x = Score of the final exam in order to get at least a C.

Solve for x:

`\begin{gathered} 37+6.8+12.8+0.2x\ge70 \\ 56.6+0.2x\ge70 \\ 0.2x\ge70-56.6 \\ 0.2x\ge13.4 \\ x\ge(13.4)/(0.2) \\ x\ge67 \end{gathered}`

He needs to score between 67 and 100